Unless there were more then one Drury Pulliam and I've not seen one, I would say they are the same. Your Kissiah would be the right age to be a sister to Peachie and Benjamin; While I don't have their exact ages, Peachie's husband, John Norton, was born between 1769-1773 and Elizabeth Norton abt. 1774.
Can you email me with more info on Kissiah and her family? I don't have very much on the Pulliams, as I descend from the Nortons, but would appreciate your input and perhaps we can figure out who was who.