Was the Cave Story Derived From the Caedmon Story?

It is understood that Bede's Ecclesiastical History of the English people was completed in c. AD 731 and it is reported that the death of the founder of Islam took place in AD 632. Although Bede completed his book around 99 years after the tyrant's demise, one might wonder whether the cave tradition is of late date. Let the reader compare.

"The commencement of the Divine Inspiration to Allah's Messenger (ﷺ) was in the form of good righteous (true) dreams in his sleep. He never had a dream but that it came true like bright day light. He used to go in seclusion (the cave of) Hira where he used to worship(Allah Alone) continuously for many (days) nights. He used to take with him the journey food for that (stay) and then come back to (his wife) Khadija to take his food like-wise again for another period to stay, till suddenly the Truth descended upon him while he was in the cave of Hira. The angel came to him in it and asked him to read. The Prophet (ﷺ) replied, "I do not know how to read." (The Prophet (ﷺ) added), "The angel caught me (forcefully) and pressed me so hard that I could not bear it anymore. He then released me and again asked me to read, and I replied, "I do not know how to read," whereupon he caught me again and pressed me a second time till I could not bear it anymore. He then released me and asked me again to read, but again I replied, "I do not know how to read (or, what shall I read?)." Thereupon he caught me for the third time and pressed me and then released me and said, "Read: In the Name of your Lord, Who has created (all that exists). Has created man from a clot. Read and Your Lord is Most Generous...up to..... ..that which he knew not." (96.15) Then Allah's Messenger (ﷺ) returned with the Inspiration, his neck muscles twitching with terror till he entered upon Khadija and said, "Cover me! Cover me!" They covered him till his fear was over and then he said, "O Khadija, what is wrong with me?" Then he told her everything that had happened and said, 'I fear that something may happen to me." Khadija said, 'Never! But have the glad tidings, for by Allah, Allah will never disgrace you as you keep good reactions with your Kith and kin, speak the truth, help the poor and the destitute, serve your guest generously and assist the deserving, calamityafflicted ones." Khadija then accompanied him to (her cousin) Waraqa bin Naufal bin Asad bin `Abdul `Uzza bin Qusai. Waraqa was the son of her paternal uncle, i.e., her father's brother, who during the Pre-Islamic Period became a Christian and used to write the Arabic writing and used to write of the Gospels in Arabic as much as Allah wished him to write. He was an old man and had lost his eyesight. Khadija said to him, "O my cousin! Listen to the story of your nephew." Waraqa asked, "O my nephew! What have you seen?" The Prophet (ﷺ) described whatever he had seen. Waraqa said, "This is the same Namus (i.e., Gabriel, the Angel who keeps the secrets) whom Allah had sent to Moses. I wish I were young and could live up to the time when your people would turn you out." Allah's Messenger (ﷺ) asked, "Will they turn me out?" Waraqa replied in the affirmative and said: "Never did a man come with something similar to what you have brought but was treated with hostility. If I should remain alive till the day when you will be turned out then I would support you strongly.""

https://sunnah.com/bukhari:6982

"THERE was in the monastery of this abbess a certain brother, marked in a special manner by the grace of God, for he was wont to make songs of piety and religion, so that whatever was expounded to him out of Scripture, he turned ere long into verse expressive of much sweetness and penitence, in English, which was his native language. By his songs the minds of many were often fired with contempt of the world, and desire of the heavenly life. Others of the English nation after him attempted to compose religious poems, but none could equal him, for he did not learn the art of poetry from men, neither was he taught by man, but by God’s grace he received the free gift of song, for which reason he never could compose any trivial or vain poem, but only those which concern religion it behoved his religious tongue to utter. For having lived in the secular habit till he was well advanced in years, he had never learned anything of versifying; and for this reason sometimes at a banquet, when it was agreed to make merry by singing in turn, if he saw the harp come towards him, he would rise up from table and go out and return home.

Once having done so and gone out of the house where the banquet was, to the stable, where he had to take care of the cattle that night, he there composed himself to rest at the proper time. Thereupon one stood by him in his sleep, and saluting him, and calling him by his name, said, "Caedmon, sing me something." But he answered, "I cannot sing, and for this cause I left the banquet and retired hither, because I could not sing." Then he who talked to him replied, "Nevertheless thou must needs sing to me." "What must I sing?" he asked. "Sing the beginning of creation," said the other. Having received this answer he straightway began to sing verses to the praise of God the Creator, which he had never heard, the purport whereof was after this manner: "Now must we praise the Maker of the heavenly kingdom, the power of the Creator and His counsel, the deeds of the Father of glory. How He, being the eternal God, became the Author of all wondrous works, Who being the Almighty Guardian of the human race, first created heaven for the sons of men to be the covering of their dwelling place, and next the earth." This is the sense but not the order of the words as he sang them in his sleep; for verses, though never so well composed, cannot be literally translated out of one language into another without loss of their beauty and loftiness. Awaking from his sleep, he remembered all that he had sung in his dream, and soon added more after, t he same manner, in words which worthily expressed the praise of God.

In the morning he came to the reeve who was over him, and having told him of the gift he had received, was conducted to the abbess, and bidden, in the presence of many learned men, to tell his dream, and repeat the verses, that they might all examine and give their judgement upon the nature and origin of the gift whereof he spoke. And they all judged that heavenly grace had been granted to him by the Lord. They expounded to him a passage of sacred history or doctrine, enjoining upon him, if he could, to put it into verse. Having undertaken this task, he went away, and returning the next morning, gave them the passage he had been bidden to translate, rendered in most excellent verse. Whereupon the abbess, joyfully recognizing the grace of God in the man, instructed him to quit the secular habit, and take upon him monastic vows; and having received him into the monastery, she and all her people admitted him to the company of the brethren, and ordered that he should be taught the whole course of sacred history. So he, giving ear to all that he could learn, and bearing it in mind, and as it were ruminating, like a clean animal,2 turned it into most harmonious verse; and sweetly singing it, made his masters in their turn his hearers. He sang the creation of the world, the origin of man, and all the history of Genesis, the departure of the children of Israel out of Egypt, their entrance into the promised land, and many other histories from Holy Scripture; the Incarnation, Passion, Resurrection of our Lord, and His Ascension into heaven; the coming of the Holy Ghost, and the teaching of the Apostles; likewise he made many songs concerning the terror of future judgement, the horror of the pains of hell, and the joys of heaven; besides many more about the blessings and the judgements of God, by all of which he endeavoured to draw men away from the love of sin, and to excite in them devotion to well-doing and perseverance therein. For he was a very religious man, humbly submissive to the discipline of monastic rule, but inflamed with fervent zeal against those who chose to do otherwise; for which reason he made a fair ending of his life." Book IV Ch. 24 of The Ecclesiastical History of the English People

https://www.ccel.org/ccel/bede/history.v.iv.xxiv.html