To whom I'm speaking with, my question is that I have three older children I. My older children or 34 and 33 years old

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I appreciate your question.  That doesn't give us a lot of information, so it would be difficult to make a specific recommendation, but I can tell you two things.
First, the statute of limitations for pursuing back child support in Texas is generally 10 years from the date the child turns 18.  In other words, if a child support case hasn't been opened within 10 years of the child turning 18, it generally can't be pursued.
Second, there is no statute of limitations for pursuing child support arrears in Texas.  This means that if child support is ordered but is unpaid, the state can seek enforcement of that unpaid amount indefinitely (and accruing 6% annual interest).
Before any action can be taken, it must first be determined if child support was ordered, when it was ordered, how much was paid, and when it was paid. If the numbers don't match with what the Attorney General's office claims is owed, the normal course of action would be to contact them to dispute the amount owed, and if that doesn't work, file a motion to determine arrears with the court.

Let me know if clarification is needed. Although I can’t always give good news, I am straightforward.  I hope that explains everything to your satisfaction. Thank you very much!

I appreciate that additional information, but it doesn't give us any insight into whether child support was ordered, when it was ordered, or for how much it was ordered.

Typically, the Attorney General's office will give you the case information if you request it of them. In a worst-case scenario, you would need to contact the court and request a copy of the case file.

It was my pleasure. I wish you the best.