Another child of Jonathan was Lucretia Bearmore, born 1783-1784 according to family trees, who married a James Rice in 1799. James and Mary's two youngest children were named George and Lucretia, after their mother’s two full siblings. Their oldest child was named Lydia, which does not appear higher in the Long family that I have seen, so I suspect that might have been the name from the family of his first wife. Lydia is also a name given by George Bearmore to one of his daughters. The name Kezia appears in the children of Joseph Bearmore.
Family records for Lucretia Long (from a descendant who has since passed away) identify her parents as James Long and Rachel Crownover, but this does not seem to make sense, since I have not found any other records linking such names in Greene County PA, where Lucretia would have been born. Also, she seems to have been named after the sister of Mary Bearmore, her presumed mother. But perhaps this record was really referring to her grandmother--the mother of Mary Bearmore. The Crownovers (aka Covenhavens/Covenhovers/Conovers) are quite prominent in New Jersey, and the Crownovers were apparently linked to Jonathan Bearmore. What's more, there was a Covenhoven/South marriage that might even have produced a Rachel Crownover of the right age to have been Mary's mother. This is a lead that I am currently pursuing.