At least in the case of Memorial Hospital at Gulfport (Mississippi) the new hospital established there in 1946 jointly by the City of Gulfport and Harrison County was named in honor or memory of those who fought for the U.S.A. in World War II.
Memorial Hospital?
Canberra HospitalCalvary John James HospitalLidia Perin Memorial Hospital
The name of the hospital in Grey's Anatomy is Grey Sloan Memorial Hospital. It was formerly known as Seattle Grace Mercy West Hospital.
Redwood Memorial Hospital was created in 1904.
Green Memorial Hospital was created in 1848.
Sharp Memorial Hospital was created in 1955.
Paulton Memorial Hospital was created in 1872.
Kokoda Memorial Hospital was created in 1995.
Guam Memorial Hospital was created in 1964.
Strong Memorial Hospital was created in 1926.
Jackson Memorial Hospital was created in 1918.
Cossham Memorial Hospital was created in 1907.