Hi Mclamp
I'm assuming your fridge is a Dometic, is it? And do you have a model/serial number? I can look it up to make sure it works like the newer ones so I do not tell you something that you do not even have....
The thermostat was mentioned. I'm going out on a limb on this not knowing what you have but most of the standard model RV fridges do not have a thermostat per say like one may think of for a furnace. They do have a thermistor that changes resistance value with temperature. The temperature control is non settable. The thermistor goes into the PC control board that then runs both the gas and electric element control. If you think this is an issue, by placing the thermistor is a glass of ice water for several minutes should change the resistance to around 8,000 to 10,000 ohms if I recall right. Have to look that number up again but you would need an ohm meter to measure it. If the thermistor stops working in an open circuit type of mode then some of the fridges go into super cool mode and will not stop cooling and you end up freezing things. It's safe to say in your case it is not failed open at least.
Now what may be causing the lack of cooling you are seeing?
These units need good ventilation up thru the back of the unit or they do not work well. They work on about nothing more then natural draft of hot air rising. Since you have a 1991 unit here are some thoughts.
Is the roof vent clogged up with dirt on the screen up on the roof? If you a use flash light and a mirror you can maybe can look up from down at the bottom where the side of the camper vent panel is looking up to see that screen. And you may only see the coil way up top, the condenser. You should be able to see sunlight for sure unless the roof screen is really clogged up. I looked up mine this way last year so I know it work. You may have to take the roof cap off and clean the screen if it really bad or has some kind of nest from insects or other things up there. Heavy dirt on the condenser coils would be an issue too.
The next area is more complex but can be an issue as the heat will not rise correctly. There is a burner stack vent or flue. This is the tube where the gas flame and heat sort of rise up thru. In the stack is a thin baffle that is on a helix, twisted piece of metal on a spiral. The height of the flue baffle is said to be important and also that a bunch of rust or soot has not clogged up the helix flue and then the heat does not rise up right. I have heard, not seen, that the flue baffle can drop down so if you do go in there make sure it is hooked up at the top and not dropped down.
Actually listed in the Dometic fridge instructions that flue tube is suppose to be cleaned annually. And it is buried in the stack. I do not know if many people ever clean that flue every year, or if ever. I myself have not cleaned mine yet but may soon. But mine is only ~ 7 years old, not 19 years or so like yours. I do compressed air blow out the bottom of the unit in the spring and check the burner.
I have taken my son's PU fridge apart when he bought it (used 89 unit) and it was loaded with mud dauber bees dirt. That little unit was easy to get to no like buried in a TT.
See here for some info on the flue baffle cleaning.
Cleaning the 'flue' on my Dometic standard fridge - iRV2 Forums
RV Refrigerator Efficiency 101 - RV UNIVERSITY
RV.Net Open Roads Forum: Dometic 7030 Fridge- Clean Flue? rust falling, poor cooling!
Is the camper level? The older units that have a square flue pipe above the burner in place of a round pipe have issues if the fridge was not level. I do not know what year those changes occurred.
It sounds like your unit is working at some level just not very cold. What was the temp inside after an overnight run on the unit?
Does it make ice in the freezer?
The easiest thing to check is the roof vent for blocked air flow. Then the flue baffle area.
There is a possibility that the ammonia flow in the cooling unit is plugged up. I myself have never been into that yet. Only read about it when rust get's in side the unit.
Hope this helps and good luck.
John
Do you have an ohm meter/volt meter and familiar with using them?