Bond's Early Settlers of Watertown, page 434 refers to the Thomas Smith referenced by the Ancestry page, the son of Thomas and Mary (Hosmer) Smith, and says he was probably the Thomas Smith of Cambridge Farms who had daughters Abigail and Ruth baptized at Watertown on 12 Sep 1697 and made a will on 20 Jan 1735-36 naming only his wife Abigail. No record of the baptisms or of the will appear to be extant, but Bond was a careful researcher and when he was writing in the 1850s may have had access to documents that have since been lost.
Without further evidence, I think that the parents of Abigail (Smith) Park should be considered as unknown.