I was watching a video about a Lifeboat which was effectively turned into a houseboat. It could have held 64 People in an emergency.
What happens if there's a minor mishap in space?
Can the Starport send out a Lifeboat without Staterooms to hold maybe 100 People? 200? 500? Or more?
Is anything like this in any books?
The answers to your questions ALL reside within the design details of the craft being used for this purpose.
If you're talking RESCUE mission, you're going to want something FAST (4-6G) that can respond to distress calls quickly and evacuate people.
With respect to how many people you can cram into a small craft built for this purpose, that depends on how "comfortable" you need your rescue/evacuation small craft to be.
- 4 persons per ton = Emergency Low Berth (suspended animation)
- 2 persons per ton = Low Berth (suspended animation)
- 2 persons per ton = Acceleration Couch (conscious, 24 hour life support endurance limitation)
- 1 person per ton = Emergency Low Berth (conscious)
- 2 tons per person = Small Craft Cabin
Acceleration Couches will be the cheapest option if you want to keep evacuees conscious, but comes with the limitation of a limited life support endurance capacity, which then also limits the radius of response.
Emergency Low Berths provide the greatest flexibility, permitting the highest density of evacuees when they are put into suspended animation, while also offering an alternative in which they can be kept conscious for longer duration transits (or when the number of evacuees is small enough to not overwhelm the rescue small craft's capacity).
Beyond a certain radius of action, depending on maximum acceleration power, the transit times needed to reach distant distress calls will typically shift from rescue operations into simply being salvage and cleanup. If a craft in distress is "so far out" that it takes any rescue effort "too long" to reach them before life support options expire ... well ... space is not an inherently "welcoming" environment to survive in for extended periods without life support (send in the coroners and the body bags). Simply due to the interplay between distance, acceleration and time, any kind of rescue that will have a chance at being successful will have "better odds" the quicker they can arrive ... and sooner will always mean "closer" because of how acceleration in space works.
So on balance, if you're using (stock, but modified for purpose) small craft in this role, your best option is going to be the LBB2 sourced 30 ton 6G Ship's Boat, loaded for rescue and evacuation being dispatched from a starport. Other craft in the area who are nearer to the source of the distress call can maneuver in to help stabilize the situation (including offering temporary shelter while the starport rescue craft is still en route) and extend the duration in which the situation is a rescue, not a salvage operation ... but that's about it.
So like I said, the answers to all of the questions depend upon the design of any rescue craft you might design, and the skills and equipment support that any rapid response team can afford to bring with them to a craft in distress (hull breaching demolitions charges, spare vacc suits, emergency battery power supplies, docking connector options, etc. etc. etc.). Once you've got your craft design nailed down into place, a lot of the answers to the questions you have asked will begin to emerge from the details.