In digging around the FindAGrave linkages, on John Baggett (120714569)'s profile some people seem rather terse in wishing to deny that John existed/was a son of Sir Hervey. The History of Parliament entry is vague on naming who the two surviving sons from Sir Hervey's first marriage were.
I just wrote a note to the FindAGrave curator to sum up what we "know" to a certainty. Sadly, we having nothing to rule in or out John as the other surviving son, or do we?
"John Bagot, who married Martha Mathews, is described on Wikipedia in the entry for Sir Hervey Bagot, 1st Baronet, MP for Staffordshire: Bagot died at Field Hall and was buried at Blithfield; his title was inherited by his eldest surviving son Edward. His other son, John Bagot, married Martha Mathews, went to the Thirteen Colonies, the family name was changed Baggett and he started the American branch of the Bagot/Baggett family. He lived in either Surrey Co. or Isle of Wight Co., Virginia.
More on his marriages from Wikipedia: He married twice; firstly Katherine Aldersley, daughter of Humphrey Aldersley and secondly Ann Fisher, daughter of Sir Clement Fisher. By his first wife he had 6 children, including his successor Edward.
The summary of his father's life from The History of Parliament indicates the following about Sir Hervey's two marriages, the latter being childless:
M. (1) c.1612, Katherine (bur. 13 Feb. 1623) da. of Humphrey Adderley of Weddington, Warws., 5s. (3 d.v.p.) 1da.; - d.v.p. being the Latin abbreviation for decessit vitae patre/died in the lifetime of his father: so two of the sons from marriage One outlived Sir Hervey.
M. (2) aft. 3 Feb. 1625, Anne (d. 9 May 1656), da. of Sir Clement Fisher of Packington, Warws., wid. of Sir Thomas Dilke (d.1613) of Maxstoke, Warws., s.p. - Latin abbreviation for sine prole: without issue.
I have been working on this line a bit, and I might be able to scare up a Hint with a meaningful and contributory source for him. If you could give me some time before disconnecting John, I would appreciate it. Thanks.