One caveat is that Tesco may be more selective about who they lend to (not implying anything), but no harm in trying.
EBS (members only), Hibernian, One Direct and GE Money also will do better than AIB, (all loans are actually underwritten by GE Money), but again, lending criteria may be more restrictive.
If it's a variable loan, there should be no penalty for early redemption, but have a look at the Ts and Cs if this is a route she is considering.
Incidentally, Tesco only offer fixed rate loans, but according to their site, their are no penalties for redemption, which is interesting.