Our previous TT came to us with a solar panel and charge controller already installed. I don't know the capacity, but it looked to me like the kits at the RV shop which I think are around 100W. It was enough to sustain us through many long weekends using the furnace and radio and a single G27 battery, never had a generator and never had a battery issue. Your panel seems a bit smaller based on your description, but still larger than the "maintainer" types. Do you know if it uses a charge controller? If you are a novice with solar, then maybe you could get more use out of what you have with some changes in habits. Solar needs direct line-of-sight to the sun, ANY shadows will knock the charge down to basically nothing (I'm referring to "small"/non-MPPT systems here). If there is a small shadow across the panel, then it is basically shut down. So you need to park in the direct sun (unfortunately). Lots of good reading, I'm sure others will chime in with good stuff.
It might also be worth checking on the health of your current battery.
This thread has a lot of installs for some ideas.I educated myself a bit and built and installed a system on my own for our current TT. I'm using two 140W panels and a Morningstar Tristar PWM controller, 2x6V golf cart batteries.