On the I-129F it's just to identify children you have in general - not who is immigrating. I'm assuming it's so they know what responsibilities/ties the parent has to home country. The who is immigrating part comes into play when you do the packet 3 documents. It will then specifically ask who the children are and if they will immigrate with you. You can probably just clarify this at the interview stage but definitely include their names in the packet 3 documents and just mark they are not joining you.
I was actually wondering about Texas and couldn't seem to find any concrete info.. haha, how excited he'll be when he finds out he probably has to redo the driving tests!