Thanks for all the replies and advice!
Huntindog: Good point. We don't get enough storms (or really any), but during the winter there's always the possibility that the power might go off. I doubt it will, but if it did, that would be a very nice option to have!
2 many 2: Is it difficult to get to the back of the fridge? Sounds like I have such a Dometic, so I need to decide between your method, or adding a switch. I'm not very experienced with electrical stuff, but I did add a relay and switches to an old tube style Hammond organ. I didn't kill myself or break anything, so I figure I could tackle this...
Profdant139: Thanks for the support. I don't take offense in forums such as this. I should think most people here realize that just the fact that I am posting questions here means that I hope to learn something. They just forget that sometimes...
My parents made the same suggestion in the past about making a list. I initially intended to follow the advice, but hadn't gotten round to it. I guess it's time!
PaulJ2: It's possible they weren't completely charged. I did have it plugged in to shore power for a day prior to the trip. Maybe that, along with the 2.5 hour drive wasn't enough to fully charge them? Prior to that, they were at a storage area, but disconnected from the trailer.
KerrlakeRoo: Yes, it was stored remotely, but charged (or so I thought) for a day prior to leaving.
Soundguy: Thanks for the post and pictures! I will probably do the same thing in some fashion.
Enblethen: I did have the batteries tested at Autozone after I was afraid I may have drained them too much over the winter. According to the guy there, the batteries are fine. Not sure how much I trusted him, though...