" I left the site beause I dared to put Perrot ap Rice's name as father of John Rice and JS. had a Cow."
Well *of course* Justin Swanstrom "had a Cow". That's called Vandalism, creating false links in a false tree. There is *no evidence* for *anyone* as father of John Rice of Dedham - and until and unless unequivocal, preferably primary, evidence emerges, *he should not be shown with one*. Duh!
You have completely misread the Margaret Mercer memorial. The left side as you are looking at it (dexter side) is all her HUSBAND'S side. She's got Lovelace (because of *her* mother, which is not in strict accordance with heraldic rules), *HE* has all the rest. HE had a Perrot MOTHER (Katherine Perrot). THAT is where the "Perrot" comes from, and not any of your lurid imaginings. I suppose you didn't notice or understand that the memorial also has *complete* shields for *each* of them, his on the left with all the impalements (Perrot and Rice and so forth), hers on the right with just plain Lovelace.
There is no record of any "HMS Sparrow" before 1653.
There is NO POSSIBLE REASON to be looking in VIRGINIA for connections to an immigrant to MASSACHUSETTS. NONE.
It only "fits together" for you because *you made it all up*. It's all FICTION. Sadly, it isn't even good historical fiction.