Andrew was possibly a son of John Bray who died in Middleton Township, Monmouth County, New Jersey in early 1717.

Andrew moved to Kingwood Township in Hunterdon County where he ran a tannery.

Andrew first married Margaret Watson, a daughter of Peter Watson, and they had children together including: Anne Bray who married Thomas Jones; John Bray who married a cousin, Susannah Bray; Deliverance Bray who married John Shurts; Huldah Bray who married Dr. Robert Cummins; Sarah Bray who married John Shaw; and Thomas Bray who married Elizabeth Bowlby. After Margaret's death he was married to Sarah Stout.

It has been claimed that Andrew fought in the Battle of Trenton and was responsible for getting boats used by General Washington's troops to cross the Delaware River at Delaware Crossing, but these claims are doubtful because he was 63 years old when these actions took place. It is more likely that the records of such involvement refer to his grandson, Andrew Bray. It is widely recognized that his nephew, Daniel Bray (later General Bray), was involved in these actions.

His death notice, which was published on July 13, 1789 in The Pennsylvania Gazette, several weeks after his death, reads as follows:

"Departed this life on Monday, the 22d ultimo, by a flash of lightening, as he was returning home from church, (the day before having been communion season) ANDREW BRAY, of Kingwood, Hunterdon county, New Jersey, in the 76th year of his age;, his remains were decently interred the Wednesday following in the church yard at Baptist-town, attended by a numerous crowd of friends and relatives."

Andrew, whose May 9, 1787 will described him as a tanner in Kingwood Township, left an estate worth more than thirteen hundred pounds including his "tanyard" in Kingwood Township, Hunterdon County, and 53 acres of land in Upper Smithfield Township, Northampton County, Pennsylvania which he had acquired on October 3, 1775.