Born and raised in Pennsylvania, Groth began his professional career in the Wisconsin State League in 1942. After his rookie season, he spent the next three years serving in the military during World War II. After he returned, he spent more time in the minor leagues, then spent parts of the 1947 and 1948 seasons with the Cleveland Indians. After the end of the 1948 season, he was traded to the Chicago White Sox, and played with them in 1949. He spent the next seven seasons pitching in the minor leagues, retiring at the end of the 1956 season. After his retirement, he ran Groth's Nursery and worked for Standard Steel, and died in 2004.
