It's been a dead end trying to find Edward Elmer-195's English parentage. So I attempted going the other direction from Bishop John Aylmer-30 down to Edward Elmer-195 as family history has suggested. All I proved was that John's children and their children, as far as I could tell, died in England. The exception to this was Elizabeth Aylmer-39: her son Edward Foliot-56 emigrated to The New World and landed in Virginia in 1652 and died in York, Virginia about 1690.
As we have learned, Edward Elmer was rather litigious. The Aylmer family in England were of the same ilk, always in court. Edward could be a chip off the old block.
I feel the search was rather thorough, but, there's always room for improvement. At least the Aylmer family now has a presence on WikiTree. DNA will probably be the final arbiter on this matter.