Here are two sources of information on Anna Matlack and John Lippincott.
The first are the genealogical records of Thomas Chalkley Matlack, particularly books, 17 - 21, Descendants of John Matlack and his two wives, Hannah and Mary. The LDS has Chalkley's records on microfilm under the name Timothy Chalkley Matlack. The film number is 511742. Films 511743 and 511744 also have records of Chalkley's that may help you.
The second is a book by Judith M Olsen, Lippincott - Five Generation of Richard and Abigail Lippincott.
The Glouster County Historical Society, Woodbury, N. J. has copies of Chalkley's microfilm and the Lippincott book.