I find no documentation for any Anne Bacon as daughter of any Nathaniel Bacon, and no documentation for any Anne Le Grosse as wife of any Nathaniel Bacon.
The Thomas Bacon who was a Member of Parliament seem NOT to have been the same person as any Thomas Bacon who emigrated to Virginia. https://www.historyofparliamentonline.org/volume/1660-1690/member/b... - however, there is evidence that the Nathaniel Bacon who emigrated c. 1674 and led the notorious Rebellion in 1676 was in fact the MP's son.
Correction: Thomas Bacon, MP *is* cited as the (only?) son of Nathaniel Bacon of Friston by "Anne, da. of Sir Thomas Le Gros of Crostwick, Norf."
However, the article does not name his daughters (it says there were two, one by each of his two wives).
Information on the "granddaughter" who married "the distinguished obstetrician, Hugh Chamberlain" [sic for Chamberlen] is sketchy at best, as is whether she was Nathaniel the rebel's daughter (doubtful) or the daughter of one of his sisters, as is whether the reference is to Hugh the elder or younger.