What kind of birth are you looking for? If you want a natural birth their are Bradley teachers in the area. They have a Facebook page I believe it's San Anotonio Bradley teachers on Facebook but I'm not positive. There are also birthing from within teachers in the area but I'm not familiar with them since we did Bradley. I don't know what birthing classes they offer but Mommy Time at 1604 and 281 might have something. If you're not looking for an unmediated birth I would contact the hospital you'll be delivering at and see if they have any openings in their birth classes. All of the hospitals should offere them but space is limited.
Re: Birth classes
And I'd call and ask a hospital. Or look online.