Carolyn,
I think the answer is in the Bahamas.
Looking at your tree, and the trees for Peter Adams and for D Cargle show the Bahamas. In your tree you have William Carey - son of William Carry and Margaret Knowles, all Bahamans. The families are in the Bahamas all at in the same time frame.
Peter has a Carey line see Michael Carey - Bahamas
and D. Cargle has a Knowles line in Bahamas.
In addition you have a Carey cousin marriage in the Bahamas and the Carey lines involved have not been extended.
So the simple answer is that there are common ancestors in the Bahamas likely with the names of Carey or Knowles - possibly both as the families seem to be intermarried.