If a voter who is erroneously registered in an election precinct in which the voter does not reside is permitted to vote by an election officer who does not know of the erroneous registration, the votes for the offices and measures on which the voter would have been eligible to vote in the voter's precinct of residence are valid unless the voter intentionally gave false information to procure the erroneous registration.
Tex. Elec. Code § 11.005