Texas Property Code - PROP § 53.084. Owner's Liability

(a) Except for the amount the owner fails to reserve under Subchapter E, the owner is not liable for any amount paid to the original contractor before the owner is authorized to withhold funds under this subchapter.

(b) If the owner has received a notice required by Section 53.056 or 53.057, if the lien has been secured, and if the claim has been reduced to final judgment, the owner is liable and the owner's property is subject to a claim for any money paid to the original contractor after the owner was authorized to withhold funds under this subchapter.  The owner is liable for that amount in addition to any amount for which the owner is liable under Subchapter E.