the thing is, the name on the grimoire isn't hers. so even if he figures out the name on it, it's not going to say "davina claire" or anyone he can search on the network. it would say "esther mikaelson".

if he has a spell equivalent to a locator spell, then it should pinpoint to her since the original owner of the grimoire is dead. otherwise, if davina sees it, she'll be able to accurately describe everything in the grimoire since she's been studying it for over a year.