My understanding is that after Joseph's death, his widow Elizabeth married Robert Vese/Veazy ALEXANDER.
On 16 Jul 1805 Elizabeth HINCH married Alexander MONTGOMERY in Hardin Co. KY. Robert Veazy ALEXANDER and wife Elizabeth give consent for the marriage of their granddaughter Elizabeth HINCH.
In March 1799, Hardin County, Kentucky: On the motion of the administration of the estate of Joseph BOZARTH by their attorney it is ordered that Robert Vese ALEXANDER, William BROWNFIELD and Robert HODGENS be appointed commissioners and guardians to convey land for the infant heirs of the said deceased [George Hinch].
In January 1800, Hardin Co. Court orders that the infant orphans of George HINCH dec'd be bound apprentices.Including Mary HINCH to Andrew REED (possibly the Andrew REED who married Elizabeth Bozarth, that is her Aunt and Uncle)and Elizabeth HINCH to Robert Vese ALEXANDER (who married Elizabeth (unknown) BOZARTH, that is Grandma and her new husband).
Assuming that this is the right family, it assumes an unidentified daughter of Joseph & Elizabeth.