I searched around for quite some time, and don't see Alexander anywhere.

Did Ann/Anna eventually return to Scotland? Actually, my search was for Alexander in California. I guess there's a chance that the two did not meet up after 1862 and that Alexander eventually settled in a different state.
I also could not find out anything about the court calendar information. But, I'm not done searching.
In case you aren't aware, "he was engaged near the Mission, San Francisco" could reference the Mission
building, or the Mission
district in San Francisco. (It was probably in reference to the Mission, not district.)