Deborah, if you read through the documentation provided on this profile of James Ware it would seem that the children are fairly well documented from several sources and a son Peter is not mentioned. I would suggest using Find-A-Grave information only as speculation or leads unless it contains primary source documentation or images of grave markers to document specific data.
Is your Ware line from Peter on downstream in WikiTree? I could not find a profile for Peter. What information on Peter Ware do you have that is documented? Place or birth, place of death, spouse, dates for these items? Any of those items might help locate additional information.