Looking for my grandma/grandpa and biological family

My mother was adopted as a baby at the start of the 1950s. I think that she was born either at the USA Naval Base in Guantanamo, Cuba or at a nearby town within the province of Guantanamo. She was then given to a Cuban family that had several children. The father in that Cuban family was a worker at the Naval Base but he lived in the City of Guantanamo. I am looking for my biological family, which I understand is from the USA or from Canada. Thank you.