Hi Dawn- I also descend from Jacob Adrian of Maryland, through his son John. When Jacob and most of his children moved to Jefferson and Morgan Counties in Ohio in 1825, John moved to Crawford County. I have some information on John's descendants at http://www.zipcon.net/~johno/trees/osbtree1.htmhttp://www.zipcon.net/~johno/trees/osbtree1.htm
I too am looking for information on Jacob's parents, and I've come across one nugget you might find helpful. In a history of Crawford County, a short section on John Adrian says he claimed to have a French background.
I'm sorry I can't add anything more about Jacob's parents yet, but I thought it would be good for us to stay in contact and share what we find.