The phone company will only do it if ordered by the court, or at least that's what we found out, not sure if it's true. I guess depending on the phone and if you have blue tooth, you can sync it to the computer and print them. We weren't able to figure out how to do that but maybe you might be able to.
Have you tried forwarding the texts to email? Out phone company told us to do that. It didn't work because it didn't give the original sender, just our number but you could try your phone.
We've been taking pictures of the phone text message, both inbox and outbox. Can cost a lot when you have to print them out though, even if you're doing just the absolute ones. Just make sure your court will accept the pictures as evidence.
Follow Mothering