Yes, post-Sharp, but appearances pre-WW2, although no active sides.

In this history of Pinewoods Morris Men it says,

"Morris dancing was taught almost exclusively in classes offered by the centers and affiliates of the Country Dance Society. When a Morris performance was called for (usually in the context of a CDS-sponsored event, or a local folk festival), a team was put together for the purpose, made up of men (and only men) who attended CDS classes regularly enough to become relatively proficient. Outside the "folk" world, Morris was virtually unknown."

"In 1963, CDS (Country Dance Society) invited the Artistic Director of the English Folk Dance and Song Society, Nibs Matthews, together with his wife Jean, to be on the staff of the Dance Weeks program at Pinewoods Camp." (I think CDSS is meant here.)

Matthews encouraged the dancers who usually only met annually at camp to form an ongoing side, which they did in 1964.

See also this tidbit from Erica Neilson's "Folk Dancing" in preview on Google Books, which highlights CDSS's camps at Pinewoods as "a training ground for American Morris Dance leaders in the 1970s".

This morris wiki entry, Pre-1980s morris in North America is pretty comprehensive.

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Yes, plenty of morris in California, but not old enough to have anything to do with the docking of English ships. It dates to the 1970s.

Berkeley Morris (Berkeley, California, across the Bay from San Francisco) was founded 1977, it may have been the first in the state. Brad Foster was the long-time Executive and Artistic Director of CDSS (after his Berkeley days), and they'd certainly put you in touch with him.

Now I'll quit doing your research for you and get back to my own work! ;-)

~ Becky in Tucson