Texas Local Government Code - LOC GOV'T § 382.201. Liabilities; Assumption of Assets After Complete Annexation by Municipality

(a) If the municipality annexes the entire territory of a district, the municipality shall assume the district's assets, but is not liable for the district's debt or other obligations.

(b) If the county has authorized a district to have debt or other obligations, the district remains in existence after the territory is annexed by the municipality for the purpose of collecting any taxes or assessments authorized by the county and imposed by the district before annexation. Taxes or assessments collected after annexation must be used by the district solely for the purpose of satisfying any preexisting county-authorized district debt or other obligation. After the debt or other obligations have been discharged, or two years have expired since the date of the annexation, the district is dissolved and any outstanding debt or obligations are extinguished.