His maternal grandmother was from the Lokko family of Osu, which was originally from Denmark and Germany, and his maternal uncles included Willie P. Fleischer of Ga-Dangme and Danish descent and Solomon Edmund Odamtten, a business magnate, who was active in national politics.

Charles Odamtten Easmon had several prominent Sierra Leone Creole relatives in his patrilineal lineage, including his great-uncle, Albert Whiggs Easmon, a leading surgeon and physician in Sierra Leone; uncles, Edward Mayfield Boyle, a medical doctor in the United States who completed courses at Harvard Medical School, Dr Macormack Charles Farrell Easmon, an Old Epsomian who was the first West African to earn an M.D.

Furthermore, Charles Odamtten Easmon was also the cousin of Professor Charles Syrett Farrell Easmon CBE, an emeritus professor and high-ranking medical administrator and Edna Elliott-Horton, the second West African woman to attend university and the first West African woman to earn a liberal arts degree.

[7] After winning a Cadbury scholarship, Easmon attended the prestigious Achimota College alongside future Ghanaian president, Kwame Nkrumah and Theodore S. Clerk, Ghana's first architect.

A gifted athlete and a member of the Student Christian Movement while at Achimota School, Easmon on completing his secondary education earned a colonial government scholarship to study medicine at the University of Edinburgh.

The government scholarship he won to study medicine in Edinburgh in 1935 made him the third Gold Coast Medical scholar after Oku Ampofo (1933) and Eustace Akwei (1934).

He was assigned at the Mayo Clinic in Rochester, Minnesota, and was elected as a Fellow of the International College of Surgeons.

Easmon served with distinction in this position, but was reassigned to an academic post as the first Dean and Professor of surgery at the newly established University of Ghana Medical School (UGMS).

His lucrative private practice and free treatment of patients had made him a household name throughout Ghana.

His grandfather, John Farrell Easmon had been a member of the club and participated in races with his horse, His Lordship, that won the Governor's Cup on several occasions.

Easmon was awarded a Grand Medal by the Ghanaian government in 1968 and received an Honorary Doctorate of Science from the University of Cape Coast.