It appears from 1850 census that Lydia b. CT is the daughter of Moses Hall.
This website/family tree has a complete lineage for this couple and references that you might be able to confirm.
Father: Abijah Andrus, b. 13 Oct 1776, Waterbury, New Haven,
Mother: Betsy Calkins, b. Between 1785 and 1794,
Spouse: Lydia Hall, Lydia is Daniel's cousin.
Father: Moses Hall Mother Orpha Andrus
Other references you might want to review:
The town and city of Waterbury, Connecticut, VOL 1, By Sarah Johnson Prichard
p. 8 Ap
Elihu Andrews m Sarah Brown d of Dan Dec 15 1775
1 Abijah b Oct 13 1776
2 Asenath b Oct 26 1777
3 Syrus b Mch 17 1780
4 Elihu b Feb 26 1782
The Barbour Collection of Connecticut Town Vital Records, Volume 50