While working on the Revoltionary War soldier George Adams (b. April 1752 Guilford Co., NC-d.1845 St. Clair Co., Alabama) I found the following information which might help you if you are sure your Asa was born in Guilford Co., NC.I don't know the source because I don't know where my Henry ADAMS (died before the 1850 census) who married Susan Haney was even born or where; therefore, I didn't follow through with any of the information, but it might help you??
And a direct link is chronologically impossible since John Adams (president) was born only 17 years before George, our earliest known ancestor. Also, in the recently published “The History of the George Adams Family 1752-1998” that romantic notion eludes the authors Leldon C. and Eloise Adams who devoted “years of hard work and exhaustive research” to the cause.
We speculate that George’s parents were John Adams and Eve Smith. This is based on the fact that the only Adams on record living in Guilford County in 1755, three years after George’s birth, was a John Adams. It’s safe to assume that children and wives were omitted from most records of that time period. Another document that strongly alludes to the possibility of John and Eve being George’s parents is the will of a Peter Smith, probated in Guilford County in 1767 at which time George would have been 15 years old. In it Peter mentions grandchildren by his daughter, Eve and her deceased husband John. The grandchildren listed are John, George, Peter, Barbara, and Susanna. Loose estate records and deed records indicate that Eve’s husband, John, died prior to 1764.
(The following won't help you, since Rev. soldier George Adams only has one known son--Thomas Adams--you can't prove a connection, but it shows how freely George Adams moved between NC and SC.)
Young George was orphaned because of his father’s death and his mother’s remarriage. Consequently, his uncle, George Smith was appointed his guardian. He was later ‘bound’ to a man named James Hendrix to learn to be a tanner and a wheelwright. These events account for the reason why, in the later years of his life George made no mention of his family or his childhood.
In 1779, at the age of 27 George joined the N.C. militia to fight in the Revolutionary War. George volunteered on three occasions, once in 1779 and twice in 1781, serving a total of 15 months. Engagements he fought in include the Battle of Brier Creek and the Battle of Guilford County Courthouse in which he was captured and taken prisoner. After being discharged, George returned to Guilford County where he lived until moving to Laurens County, S.C., in 1785. He owned farmland in Laurens County, just north of the Saluda River.