@Hummin my guess is that it would be for her to prove it was family purpose, so she would need maybe the school bill, house furniture bill etc.
You said "Such as bank loans, lease, and also criminal economic charges" it doesn't sound like family purpose. And the probabilities for this kind of Thai women to spend on their kids, especially knowing that there is a responsible Farang behind, are really thins.
Now if she made a loan to pay for the school and take care of their common children if they have, then OP should be more comfortable with this idea.