He was a publishing house representative at Vermilion, Ohio, from 1932 to 1939.[1] He was a member of the Ohio State Senate from 1937 to 1940.[1]
Baumhart was elected as a Republican to the Seventy-seventh Congress.[1] Throughout all of 1940 and most of 1941 he was known as an "interventionist Republican" who advocated that America go to war in Europe against Nazi Germany in order to help the United Kingdom. He resigned to accept a commission in the United States Navy on September 2, 1942.[1] He was discharged as a lieutenant commander on January 17, 1946. He was a member of the public relations staff of Owens-CorningFiberglass Corp., in Toledo, Ohio, from 1946 to 1953.[1] He served as director of the Republican National Committee in 1953 and 1954.[1]