Also 23 Feb 1800 there is a burial of a Henry son of Henry White, so possibly another child?
... and likely Henry's wife Elizabeth buried Preston 13 Jan 1800 a month before that son named above.
The burial entry says ' son of Henry,
widower' which makes the connection almost certain.
Just before the burial entry for Henry in 1832 is an entry for a Robert White, 76, who also lived in Weymouth but was buried in Preston. As Henry called his eldest son Robert, they may both be children of another Robert, although White is a common name.
Henry and Elizabeth both signed the marriage register, so are both literate. One of the witnesses was a regular, but the other, John Puckett, may be connected.
I wondered whether Henry married again, particularly as he had young children. There is a Henry White, widower, who marries Jane Langdown in Bere Regis in 1812; but he was a carpenter who died intestate in 1828 with a related administration in 1833.
Some time ago there was someone else looking at the same family:
http://www.rootschat.com/forum/index.php?topic=118507.0Richard