I am not certain. By 1799, when your Archibald Adams was born, my Archibald Adams was married and had his first son, Samuel Adams, in 1788. So your Archibald could be my Archibald's son. Both my Archibald and Samuel were innkeepers and blacksmiths, too. Archibald Adams lived in Ligonier well into his 80s, according to the census, but Samuel left Ligonier in 1838 for Columbiana Co, OH. Certainly the first names that you mention also appear in Samuel's family. Other than Samuel, I know absolutely nothing of Archibald's children. Archibald's wife was Rachel Potts; Samuel's wife was Martha Taylor. I suspect the Adamses were Quakers from Bedford Co PA at the time of the Revolution.