I saw a lot of names, canon, and not canon, I know there is constitution and sovereign class, it can have names of locations of earth.
Lower decks ship is the Cerritos, which is a "California" class, together with other ones which I presume have name cities or provinces of that state, but since Lower Decks is more comedy, I start to have doubts about the true canon name and ranks of each ship, since the fanpages and wikis put ships which are doubtly canon.
Most of the time are just names like Rio Grande, but I think that was a shuttlecraft or a runabout.
So still, I don't get the criteria of ranks of names for the ships in general.
This are the kind of doubts I have when I try to understand things related with the lore.