Who Controls the Federal Treasury Departmet's Payments?

Open letter to Rep. Neugebauer:

It has been said that the House controls the federal purse strings.

However in investigating the responsibilities of the Treasury Department, the following is mentioned:
"Collecting taxes, duties and monies paid to and due to the U.S. and paying all bills of the U.S."

Since the Treasury Department is under the control of the President, does Treasury take orders from the House or the President on what bills it should pay?

Comments would be appreciated from anyone receiving a copy of this e-mail