Other lords beside thee have had do minion over us... — The “other lords” are the conquerors and oppressors by whom Israel had been enslaved; possibly also, the false gods with whom those conquerors identified themselves.
By thee only will we make mention of thy name. — Better, Through Thee alone we celebrate Thy Name. The power to praise God with hymns of thanksgiving (Psalms 45:17) had been restored to Israel, not by man’s strength, but through His interposition on behalf of His people.