Here's what I have for Captain Silas HAMILTON and two daughters:
1) First daughter of Captain Silas Hamilton, Orpha HAMILTON, was born in 1748 in Danbury, Fairfield, Connecticut Colony. She died on 20 Jun 1824 at the age of 76 and was buried at First Baptist Church Cemetery in Danbury, Fairfield, Connecticut Colony. Orpha HAMILTON and Abijah BARNUM Sr. were married on 20 Oct 1763 in Danbury, Fairfield, Connecticut Colony. (I realize that this date doesn’t match what you have, and it may well be wrong. Neither does it fit well with the birthdates of Abijah’s children. However, it does appear in the Barbour Collection, and I've not yet found evidence for another wife of Abijah).
Abijah BARNUM Sr., son of Benjamin BARNUM and Sarah HOYT, was born in 1745. He died in 1824 at the age of 79 in Ovid, Seneca, New York and was buried at McNeal Cemetery. Abijah BARNUM and (perhaps?) Orpha HAMILTON had the following children: Beulah BARNUM (1764-1835), Abijah BARNUM Jr., (1766-1846), Silas BARNUM (1768-1808), David BARNUM (1770- ), Daniel BARNUM, (1772-1852), Zar BARNUM Sr. (1775-1838), Abigail "Naby" BARNUM (1776-1824), Noah BARNUM (1778-1856), Hannah BARNUM (1780-1792), and Elizabeth "Betsy" BARNUM (1783- ).
2) Second daughter of Captain Silas HAMILTON, Elizabeth HAMILTON, and Lemuel LINDSLEY were married on 27 May 1773 in Connecticut Colony.