What is this song and who is this band from an episode of Doc Martin?

This is driving me crazy. In the Doc Martin episode called Doc Visits a Wedding, there is a band playing at the wedding reception of Elaine’s father (Elaine is the Doc’s hideous receptionist). The band starts playing and the song starts at 3:35. You can see the video here: https://www.youtube.com/watch?v=9zbR_vyyuDQ

I love this song, but I’ve searched the Google to no end. Apparently a lot of other Doc Martin fans are interested to know who this band is, and what the song is called.

The song and the band are not credited on the episode, at least not as far as I’ve been able to tell. I watch the show on Netflix, so at the end of an episode, the credits are all scrunched up so tiny that you can’t see them, but other people who have purchased the DVD’s also said they didn’t see any credits for this band.

In part of the lyrics, they seem to be singing, “To the white house, to the white house.” Does that ring a bell with anyone?

I thought maybe some of you Brits might recognize the band or the song and help an addict out.