I've already thought of this, actually. I'd actually love to be in a band, playing drums, with a single other person - a girl, who would have lead vocal duties, since I can't sing and I kind of like female vocals instead of male ones when listening to folk rock and indie rock (the type of music we would play) - though she would also have to be able to play guitar too...
But yeah, my band name idea would be Northern Downpour. It's a two-part reason, first of all it's a bit of a homage to the song 'Northern Downpour' by Panic! At The Disco, who I love. And second, it's linked to the fact that in my adopted city, Leeds, we're in the north of England, and it tends to rain a lot (it's meant to be summer yet rained almost non-stop this evening, the path in the park was like a river and I got soaked to the bone three seperate times...).