If any bill of costs taxable by virtue of this Act, or of the M1House of Commons Costs Taxation Act 1847, shall comprise any costs, charges, and expences incurred in respect of a private bill, but not taxable by virtue of the Act in pursuance whereof such bill shall come to be taxed, it shall be lawful for the taxing officer of the House of Lords, or for the taxing officer of the House of Commons, as the case may be, either to tax and settle such last-mentioned costs, charges, and expences, or to request the taxing officer of the other House of Parliament, or the proper officer of any other court having such an officer, to assist him in taxing and settling any part of such bill; and such officer so requested shall thereupon proceed to tax and settle the same, and shall return the same, with his opinion thereupon, to the officer who shall have so requested him to tax and settle the same; and in taxing such costs, charges, and expences the taxing officer of the House of Lords and the taxing officer of the House of Commons respectively shall have the same powers, and may receive the same fees in respect of such taxation, as if such costs, charges, and expences were taxable by virtue of this Act, or of the M2House of Commons Costs Taxation Act 1847, as the case may be; and the proper officer of any court so requested to tax the same shall have the same powers, and may receive the same fees, as upon a reference from the court of which he is such officer.