Check, 1 2 3
“A recording studio in a library? That must be a world first! To be honest, we don’t know, but it’s certainly a bold step. Beatbooth is a brand new initiative by the Palmerston North City Library, launched on May 24th 2007. Any member of the Library is able to book our music recording room…”

It may be a first in a public library (and that’s very cool!), but not in an academic library. Check out ours!
http://swem.wm.edu/services/media/
I think the Charlotte & Mecklenburg County Public Library has a recording studio at their Main Library: http://www.plcmc.org