There are two bands called Birthrite. 1) Is a vegan hardcore band from the US. 2) Is a Steampunk rock band from the post industrial heartland of the UK, The Black Country. This is the band that is currently active with this name.
The UK Birthrite released the album "If It Ain't Bost Don't Fix It" in 2011. They are very active in the Steampunk scene and are currently (2013) playing gigs and festivals across the UK.