Erica: yes, individuals. However, in the case of Cream, all three members were Brits (although Clapton lives in the USA now).
Tangential aside: In late August 1971 I saw Jack Bruce perform in a free concert at London's Hyde Park. The headliners were King Crimson. Jack performed with a temporarily re-united Graham Bond Organization. He played by far the longest bass solo I've ever heard/witnessed. To the extent I can remember it, it was brilliant, albeit too long.