I agree with Faster. I asked that question a couple of years ago because I live in a land-locked city and have my boat on Lake Erie. Was I to put my home city name or the marina city name on the transom? Basically, the responses were whatever you want to do. I know at my marina, it is a mix.
Dale, "proper" has no meaning here. The boat's identification, including name and home port, need to conform to the legal requirements in your venue.
USCG documented? State registered? UK or CA flagged?
Ask whoever made you pay to register the boat, they'll tell you what and how they want it painted on, right down to the allowable size, position, and typefaces that you can use for it.
Beware that if your home port is not going to match the place where your boat actually spends time at a dock or mooring--the tax men come looking for that, and usually send you a bill for taxes to be paid in the location where the boat really "lives".