Here's a good chart of who is endorsing whom. These two Republicans endorsed in dozens of Texas House races. One put his money where his mouth is. | KUT Radio, Austin's NPR Station
True, but something doesn't ring true with that. Her partner is Olivia Jordan, and looks somewhat similar to Ogg.
Your voter ID card is no longer used for identification purposes for voting. It continues to play a role in advising someone that they are still registered, and what precincts and districts they are in. They also serve the County Election Administration when they are sent back and undeliverable at that address. That is the main way voters are put on suspension and eventually cleared from the rolls.
Texas Driver's licenses are used to verify the voter now, or another form of ID, which is pretty limited. ( https://www.votetexas.gov/docs/sos-voter-ed-8-5x11-eng.pdf) They use it mainly for facial identification, and the address on your DL doesn't come into play. So Jordan would have had to actually use Ogg's photo ID to vote as her. She does look a bit like her, and then also sign off on the fact that she was indeed Kim Ogg. I would imagine the poll book would have proof of what ID was used.