Couldn't find anything on it. The main military action in that period within California wasn't Civil War related, but rather was related to the Mexican War from 1848-1849, so I thought it might have been related to that. But not too sure there was even an area called Baldwin Hills back then; the modern "black Beverly Hills" wasn't developed until about the 1920s according to its Wikipedia page. Then again, I couldn't find for whom Baldwin Hills was named after, so it's still possible that it was an undeveloped location before that time.
There was some unrest in California, but to my knowledge the only events occurred in Naval engagements off the coast. There were some 16,000 Union troops enrolled from California and probably a comparable number went and joined the Confederacy. There is an overview on my website.