Baker was born in New York to Scottish parents and played seven times for the USA but he and his younger brother Joe made their name in British club football.
Gerry began his career with Motherwell but swiftly moved on to St Mirren and was part of their 1959 Scottish Cup-winning side before joining Manchester City, where he spent just one season before signing for Hibernian.
During his spell at St Mirren he scored 10 goals in a cup tie against Glasgow University and he played a key role in Hibernian's successful battle to avoid relegation.
A move to Ipswich ensued in 1963, with Baker spending four years in Suffolk before making a final permanent move to Coventry, also spending a loan spell with Brentford.
Baker was named player-manager of non-league Margate in 1970 and also played briefly for Nuneaton, Bedworth and Worcester before retiring from football.
He died on Saturday after a short illness and Hibernian paid tribute to him.
"His association with Hibernian may have been brief, but he was our first 'foreign' player and he left a lasting impression at Easter Road," the club said on their official website.
"Once a Hibee, always a Hibee and there will always be a special place for the Baker brothers in Hibernian folklore."