It's been six years since I posted several things about the Burnham Brothers of Ipswich, Massachusetts. As I pointed out then, none of them were on the ship Angel Gabriel. I noticed someone looking at that posting this week and I was reminded that the Great Migration Directory came out last year. Using that work you can show the following: assuming that Robert Charles Anderson is an expert on this time period, we can see that John Burnham came in 1637 and his brothers Thomas and Robert arrived after 1640 since they are not in the directory. Clearly, none of them were on the ship Angel Gabriel which landed in 1635. Therefore, we can put this trope to bed once and for all.
But genealogy is never that easy. This trope will outlive me. It's in print and that's all that matters to people. There are too many hack genealogists out there and not enough scholars.
My Burnham descents are here.