We Landed on the Moon!
Rilo Kiley is probably the best touch stone for this band - female lead singer with some swagger, rock/pop guitar lines with a good hook and a quick beat to the songs. That said, when you read their myspace page you get the impression that they are sick to death of being compared to any and every band with a female lead singer. And while that is understandable, I'm also sure that you're going to hear More Adventurous/The Execution of All Things era Jenny Lewis in the songs.
Washing for the Week from These Little Wars
Re: Send Your Letter from These Little Wars
Just a man with his guitar, Danburry's musical influences are pretty specific - you can hear a lot of Sufjan Stevens and some Scandinavian stuff (Suburban Kids with Biblical Names, for instance). But his voice can do radically different things from song to song. Here he sounds like Alex Kapranos on Memorial Day followed by Will Scheff from Okkervil River on Residents in Orange County.
Memorial Day from This Could Mean Trouble, You Don't Speak for the Club
Residents in Orange County from This Could Mean Trouble, You Don't Speak for the Club