I can't claim that my information is gospel but I'm not sure there was time for another generation (James/Margaret) between John Parry/Hannah Dilworth and John Parry/Margaret Pusey.
John Parry (elder) was b. 4/30/1713 in Barnstable, Mass. and d. 8/30/1777 in Wilmington, Del., m. 9/16/1737 to Margaret Pusey (b. 8-16-1720 in Marlborough Twp., Chester County, Penna. and d. 12/12/1772)
John Parry (younger) was b. 1-11-1754 and m. Hannah Dilworth 1-4-1776.I know of son James, b. about 1776/1777 but that's it.When was your Mary Parry, daughter of John and Hannah, born?