FRANCIS DODGE SHOEMAKER, 73, a patent examiner with the U.S. Patent and Trademark Office from 1967 to 1976 who was a retired Air Force colonel, died July 10 at Walter Reed Army Hospital after surgery for cancer. He lived in Vienna.

Col. Shoemaker was a native of Washington. He was a 1930 graduate of the old Western High School and earned a bachelor's degree at the University of Maryland. He was called to active Army duty in the 1930s and served with the Army Air Forces in this country during World War II. After the war, he commanded installations in Japan and the Philippines. In the late 1940s, he served as chief of staff of the 20th Air Force on Guam and was staff chief of the 13th Air Force in the Philippines in the mid-1950s. His last post, before retiring from active duty in 1961, was as inspector general of Wright Patterson Air Force Base in Ohio.

Col. Shoemaker was a graduate of both the Army and Air Force Command and Staff schools and the Air War College.

Survivors include his wife of 48 years, the former Suzanne W. Shepherd of Vienna; a son, Army Maj. Francis D. III, who is stationed in West Germany; two daughters, Suzanne Withers Shoemaker of Vienna and Dr. Judith M. Shoemaker of West Grove, Pa.; a sister, Lucia S. Clark of Kensington, and two grandchildren.