Texas Government Code - GOV'T § 2116.014. Lien on Depository Account

(a) Without the need of any further agreement or pledge, the depository has a lien on each depository account owned by a depository account holder to secure any fees, charges, or other obligations owed or that may become owed to the depository in connection with any of the depository account holder's depository accounts as provided by the terms of the depository account holder's applicable depository account contract.

(b) On default in the payment or in the satisfaction of a depository account holder's obligation, the depository, without notice to or consent of the depository account holder, may transfer on the depository's books all or part of the balance of a depository account holder's depository account to the extent necessary to pay or satisfy the obligation, as determined by reference to the exchange rates applicable at the time of the transfer.

(c) The depository by written instrument may waive wholly or partly the depository's lien on a depository account.

(d) Subject to a lien created as provided by this section, the depository shall recognize the lawful pledge to a third party by a depository account holder of the depository account holder's rights, interests, and entitlements in and to a depository account as an intangible asset.  On the satisfaction of other requirements of law in respect of the perfection and enforcement of a pledge of that type, the depository shall take all steps reasonably necessary and appropriate to effectuate on the depository's books any transfer of a depository account or of all or part of a depository account balance to the account of the secured party on the successful enforcement of the pledge.