[ewoodrich]

I can't speak with certainty about Texas. But the normal process would be that if you had a non-citizen driver's license and lacked a SSN (or the SSN was for a non-citizen), it would not be acceptable for voter registration. (This could certainly be verified after the fact, as well, if the state wished).

The list of "appropriate documents" are in-person (Voter ID) requirements, which would have required registering with the SSN or driver's license, as you mentioned.