Then there's Do You Want My Job? On this description, the answer's a firm No, regardless of the tropical island vibe.
Don't Go Away Mad has Hiatt front and centre in a track that grooves along pleasantly but doesn't have a lot going for it, though the guitar solo in the middle is kinda tasty, but with Fool Who Knows we've got Nick Lowe back on vocals in a trademark vocal performance in a song he obviously likes (he was doing it on tour with Ry Cooder in November 2009), interesting guitar action.
There's a bit of motoring metaphor on She Runs Hot for Me, where everyone seems to be having a good time, that you might see continuing into Don't Think About Her When You're Trying to Drive. Yeah, sure it does, but it's another one in a lengthy series of heartfelt heartbreak Hiatt ballads where you're looking for the searing Cooder solo (on the surface you'd think it would be a natural fit) but the guitar work stays at the tasteful punctuation stage.
Finally, there's a slick groove driving Don't Bug Me When I'm Working, complete with audio inserts from the Sonny Boy Williamson track that gave the band its name.
Now, when you line Little Village up against the best work from the three headliners it might come across as slightly lightweight, but that's in comparison with some very classy competition. Definitely worth a listen, particularly for Hiatt fans.
Oh, and those live bootlegs where Mr Cooder gets a bit more room to stretch out are worth chasing down as well...