Truth is, if you’re guessing,
You might think that the verb “babble” comes from the biblical Babel, especially if you consider the french for “babble”: “babiller”. However, “No direct connexion with Babel can be traced; though association with that may have affected the senses” [OED].
Turns out it may be onomotopoeic (after the sounds of a baby). Oh Etymology, you scurvy dog!