Does that mean he was in a public place when the trespassing occurred and not on private property?

In all misdemeanor cases, the defendant can be prosecuted by the county prosecutor (also known as the state prosecutor) or by the local city attorney. If the opposing party is the city, that means the maximum penalty is up to 93 days, and the county prosecutor will not be involved. This designation of the city as the opposing party says nothing about the place where the trespassing supposedly occurred. There are many defenses that might apply to such a case, and also the possibility of making a deal with the city attorney. Hire an attorney in your area to improve the chances of a favorable outcome.