Yeah, you can try to get Loyola to match, but many schools are having issues right now with endowments, so who knows.
The more important issue concerning the scholarships is the requirements to keep the scholly. You need to know the GPA/class rank you need to keep the money, and then determine which might be easier to maintain. Also, ask how they put people in sections. It's possible that they load one section with students on schol and then let you battle it out to the death, so to speak, knowing that many of you will therefore lose money after the first year.