If it's newer than November 1, 1972 - it will have a hull identification number somewhere on the transom (usually upper corner) - but it looks like if yours had one, it was removed.. If you go to the town office and give them the registration number, and it is newer than 11/1/72, it will have the HIN on the registration. It will probably have all the details you are looking for too. Mine told me the manufacturer, manufacturing year, where it was manufactured, the engine that came on it originally, the original out drive, the dimensions, pretty much everything.
As a side note - not all boats have titles. Some states don't title boats so if the original sale from the manufacturer was to a state that doesn't (like Alabama), then a title wasn't created at the time of sale to the dealership. If the boat never lived in a state that titles boats, then it would never have had a title issued to it (like mine). In Alabama, the trailer is considered a part of the boat, so it is not titled either.