Born in Gretna in Jefferson Parish, Louisiana, Heebe received a Bachelor of Arts degree from Tulane University in 1943 and was a captain in the United States Army towards the end of World War II from 1945 to 1946.

He was a judge of Division B of the 24th Judicial District Court in Jefferson Parish from 1961 to 1966.

[1] On February 16, 1966, Heebe was nominated by President Lyndon B. Johnson to a seat on the United States District Court for the Eastern District of Louisiana vacated by Judge Frank Burton Ellis.

Heebe was confirmed by the United States Senate on March 25, 1966 and received his commission the following day.

He served as Chief Judge from 1972 to 1992, assuming senior status on August 26, 1992.