Marvel Comics continuity
Lola is a woman Grunt met at Georgia Tech. She formerly was four years in the army, as an helicopter mechanic for the air cavalry, and that's how she paid for college. (Jungle Moves)
Grunt and Lola also were part of the group Roadblock assembled against General Malthus' witch-hunt towards the G.I. Joe team (Payback!)
Devil's Due comics continuity
Grunt and Lola got married at some point before the reinstatement of the G.I. Joe team. They had a daughter and, despite some complications during labor, both Lola and the baby survived. (Special Missions: The Enemy)