John Belshaw baptized a series of children John 1804, Isabella 1806, and Ann 1808 at Lurgan First Presbyterian Church. I would assume Margaret was born earlier as the records begin about 1804 after a break. This is probably Margaret's father and Hugh probably was married at this church.
I am saying this as Hugh's son Matthew was baptized there after his birth Jan 6, 1842. He appears to be the only Cochrane bartized there. It was customary for a bride to be married in her church and the first born baptized there. Is Matthew the first born? Unfortunately the marriage tape begins in 1845, but there may be earlier marriage records available and possibly they give parents names. Many earlier marriage records do not.
FYI There is also 1 other Bradshaw, Elizabeth Belshaw m. Andrew Blakely and had Ruth baptized in 1839.