The version of the Cuban Stars that played on the east coast, in the Eastern Colored League and American Negro League is identified by historians as Cuban Stars (East).
The team played independent baseball from 1916 to 1922. The team was then a charter member of the ECL from 1923 until the league collapsed in 1928. The Stars then joined the ANL in 1929. After the eastern leagues the team played under the Cuban House of David moniker in the early '30s. The team also played in the East-West League in 1932.
Source:
BBRef.