Emanuel Elzie Brannan was the son of Emanuel Hamlin Brannan, and neither one of them went by "Mike." It appears the erroneous assignment of the nickname "Mike" came from an overeager Brannan descendent who did not do her research appropriately and excitedly attached Mike C. Brannan and his Susanville, CA hotel to Emanuel Hamlin Brannan merely because they were in the same place at the same time and she was not careful. A local Lassen County, CA historian took her word for it and has been irresponsibly spreading the mistake himself, as well as innumerable family trees doing the same, ever since.
Further, family tree builders are mixing up father and son, as though they are one man or have the same name, by putting the names (Emanuel H. and Elzie) together.
It is Emanuel Hamlin Brannan, father to Emanuel Elzie Brannan, and neither one of them was Mike C. Brannan.