"Joseph Kirkbride was a son of Mathew and Magdelen Kirkbride. of the parish of Kirkbride, near Carlisle, England." [1]
Details of Genealogical records are given in [2].
[1] Francis Bazley Lee, ed., Genealogical and Personal Memorial of Mercer County, New Jersey, Vol. 1 (1907), 14, [HathiTrust], [GoogleBooks].
[2] John W. Jordan, Colonial Families of Philadelphia, Vol. 1 (New York: Lewis Publishing Company, 1911), 546-547, [HathiTrust], [InternetArchive].