Thanks for the response! I do not know for sure what the name of William's wife or wives were.I have seen a listing (by Thomas Rogers a couple years ago, I believe) on this board for a William Rogers, christened 6 May, 1750 at the Poughkeepsie Presbyterian Church in Rumbout. His father was also William from the christening records. No mother's name is listed. He may have had a sister named Susanna, christened 24 Nov 1751 at the same church with the same father's name. The younger William married Mary Williams 20 Oct 1771 in the Church of Christ, Salem, Westchester County?, NY. He may have had a second wife. Also, the elder William Rogers' wife may have been Mary Verveelen.
One of the reasons that I believe that this William Rogers could be same one is that many of the related families I am researching in Ulster County and surrounding came from Dutchess County.
Also, from what I have seen there were at least to different Rogers families. One came from New England is likely of English or related descent. The other is of Dutch or related descent, such as Flemish, Huegonaut or Walloon. Their name evolved from Rouger. These may have initially settled in New Amsterdam (NYC) or Ft Orange (Albany). I tend to lean toward the Dutch because many of the related families that came from Dutchess County during the same period are also of Dutch or related ancestry.