Muldowney was elected as a Republican to the Seventy-third Congress, but was an unsuccessful candidate for reelection in 1934. He was a member of the State board of mercantile appraisers from 1935 to 1937. He was appointed as the State Unemployment Compensation Referee in 1940 and served in that capacity until his death in Pittsburgh. Muldowney was interred at Calvary Cemetery, Pittsburgh, Pennsylvania.