Two month later, my fifth great grandparents William Gunter and Nancy Ann Williams named their new son Andrew Jackson Gunter, a clear ode to the famous general after his great victory.
This William Gunter may be, although I am not certain, the same listed in this document, granted a land warrant for 160 acres for his service in the 7th infantry regiment commanded by George Birch in the War of 1812.
William Gunter would have been an old private at 50 something, but there is another piece of evidence that supports the idea that he might be one and the same William Gunter. The 7th infantry regiment served in the Battle of New Orleans. Which would certainly explain why he felt strongly enough about Andrew Jackson to name his son after him. Alternately, he has a son named William Gunter, my fifth great uncle. Maybe he named his new son Andrew Jackson after hearing about the battle from his older son. It's also possible that there is no connection here, as I cannot find any confirmation that the 7th regiment took soldiers from Norther Carolina. See a history of the regiment here.