First, I recommend that you contact a lawyer in TX.
Commonly, however, if taxes remain unpaid for long enough, the property will be auctioned to the highest bidder so that the taxing agency can recoup something. For this reason you'll want to pay attention to any timeframes and deadlines that might be applicable to the payment of the taxes.
Are you in the lawsuit? Is that because you are on the title? Ask counsel in TX to address this issue for you or first call the agency in charge of suit and see what they suggest you do.
Legal disclaimer: This answer does not constitute legal advice. I am admitted to practice law in the State of Missouri only, and make no attempt to opine on matters of law that are not relevant to Missouri. This answer is based on general principles of law that may or may not relate to your specific situation, and is for promotional purposes only. You should never rely on this answer alone and nothing in these communications creates an attorney-client relationship. less
This factual scenario, if accurate, is very unusual. You should not be a party to the suit....UNLESS you are listed as an owner in the county property records. Heirs are not personally responsible for a decedent's delinquent property taxes as such taxes are recovered from the estate. I recommend you contact a Texas attorney for a brief consultation to make sure you are not listed as a property owner and, thus, subject to personal liability for unpaid taxes.
This attorney can be contacted via email at email@example.com or via phone at 817.305.7170. The above answer does not constitute, and should not be construed as, legal advice.