I think Mary Starr's parents might be John Starr (b.1713 at New Garden, Chester Co., PA) and Mary Eldridge. That John Starr was son of James Starr of Chester County Starr's (Irish Quakers) and Rachel June Laybourne.
Marriage record from Bradford MM:
3rd day, 3rd mo., 1744. Thomas Green Jr., Mary Green, and Mary Green Jr. witness the marriage of John Starr [certificate from Gwynedd] and Mary Eldridge of East Caln. (3), p. 38, Marriage records of Bradford MM.
From: TGreene469@aol.com Subject: Mary STARR married 21st day of 2nd month, 1781 Date: Thu, 11 Jun 1998 13:13:50 EDT >From Quaker Records of Northern Maryland by Henry C. Peden, p. 269: "John MAULSBY of Pipe Creek in Frederick Co., Maryland, son of David and Mary MAULSBY and Mary STARR of same co., dau of John and Mary STARR dec'd, 21st day of 2nd month, 1781..." Were John and Mary STARR the same as John Starr and Mary ELDRIDGE who were married 3 Mar 1744, East Clan Meeting? Tom Greene
http://www.pa-roots.org/data/read.php?1353,690886
John Maulsby, son of David and Mary Maulsby of Fre4derick County; married 21 Feb. 1781, Mary Starr, daughter of John and Mary Starr deceased of the same place.
(Source: Records of the Pipe Creek Friends Monthly Meeting, Union Bridge, Carroll Co., Md. (1730-1895).)