Oh... Google Group... I haven't used that in a while too... LOL!
Just going by memory. I recall that William White was born not too long before the Mayflower reached its destination.
He was very close to being the first one (from the Mayflower) to be born in the new land.
I'm just going by memory of course. It has been, probably, 10+ years since I had last done the research.
~Brian Kerr