Did you read the section? It appears to indicate that the lien automatically attaches to the property on the 1st of the year if taxes are unpaid. "(a) On January 1 of each year, a tax lien attaches to property to secure the payment of all taxes, penalties, and interest ultimately imposed for the year on the property, whether or not the taxes are imposed in the year the lien attaches. The lien exists in favor of each taxing unit having power to tax the property."
It further appears that you must keep your taxes current while paying down the arrearages. Is that the case?
Is your agreement with the tax office in writing?
When you say "the Attorneys" - are these Town/City Attorneys? A private firm?
For your info:
Texas Property Tax Code 2006 Edition