These electric/propane RV refrigerators have not changed much over the years since '95. And a lot of the maintenance, etc. is virtually identical.
Making sure you have sufficient propane, that it's turned on properly and the lines are purged are the first steps. Purging is easy, just light up the stove for a couple of minutes and then make sure the HW heater runs OK. Even then you may have to go through a few on/off cycles to get the last bit of air out of the line.
There's a sort of a chimney above the flame. It can be cleaned out with a little ingenuity. A paper towel wadded up and fastened to the end of a wire coat hanger works. You only have to remove a few screws and an access plate or two. That chimney is prime residential space to spiders who seem to love the propane odor. If the trailer has not been used for a while, other insects may have moved in as well.
While in there, there may be a build-up of crud on or around the flame orifice. A good brushing with an old toothbrush takes care of that. Be careful not to push the crud into the pin hole where the gas comes out.
The thermocouple is supposed to be squarely in the flame so that the heat of the flame keeps it functioning. If the thermocouple looses heat, it switches off and the fridge shuts down. A very gentle bending will move it back into position. Do NOT crimp the metal tube of it.
You said it's windy. Assuming that the access plate to the fridge on the outside of the TT is there and in decent condition, that should block most of the wind troubles. Remove the plate and make sure that the cover plate on the chimney where the gas flame is located is there. If it has been removed, even a gentle breeze will blow the flame out.
Many owners manuals for RV appliances are available here:
Dometic's website also has them online (my '99's model is listed there so your '95's maybe well be, too):
'12 F250 4x4 Super Duty PowerStroke 6.7 diesel
2011 to present: '11 Cougar 326MKS
1999 to 2011: '99 Sunline T-2453
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