And oh, speaking of Serenity, I realize there'd have to be a medical bay too. Not sure where that would go. Maybe close to the labs and engine compartment in case of accidents. And next to the transporter stage, in case someone gets hurt on a dig and needs to be beamed up and tended to quickly. (A small civilian ship might not have the fancy "Beam directly to sickbay" setup that a Starfleet vessel would have.)
My uncle is a crewman on a large fishing boat (Brazil) with a crew of forty, the ship doesn't have a medical bay, instead they have two large suitcases locked up in the gallery. Full of medical gear and drugs. Would a tiny starship have a dedicated a sick bay?