A couple of thoughts on this - I have heard that the English spoke in Appalachia (among the most heavily accented and that may all be being lost due to TV, etc.) is close to the English spoken in Shakespeare’s time. I have no idea if this is true, but I’ve heard it many times.
It does make sense to think the words in a poem would rhyme, I will say that!
Another thing, I watched that movie “gangs of new york” which takes place in the mid-1800s. I complained to my friend about the characters “noo yawk” accents, but she told me that it was actually historically accurate that the new york accent we know and love was actually that old.
How anyone knows this in the era before recording I have no clue!
There are archaic words still spoken in Appalachia that go back that far but the structure and dialect are more Scottish. You have to go to the other end of Virginia and North Carolina to encounter spoken English with a structure and dialect that are very close to Elizabethan English, on isolated barrier islands and remote mainland communities on the bays and sounds. In NC, Hyde County is most associated with this. There’s an island in the Chesapeake Bay in Virginia that’s well known for it as well, but the name of that island escapes me at the moment. Famous for shellfish I think, residents put out crab pots and such for a livelihood.