I don't think quibbling arguments are what you are getting, thoughtful considered opinion. It would be nice if you took the information in the helpful spirit it was offered.
Lisa you have a 13 ft. Boler
listed in your profile The Oliver
is at minimum an 18.5 camper - the 4 t-105 golf cart batteries mentioned in prior post weigh in at around 240 lbs. and cost around $700 but with sufficient solar input this set up could easily run a fairly robust amount of electric appliances. Even for a period of time in inclement weather when solar might not be providing much recharge.
Not exactly sure where you would put that much battery or how the weight
would effect towing balance of a 13 ft. You would also need enough solar panels to recharge the amount of battery needed to meet your overall needs. Fla. provides good sun but I can't imagine less than a 100 watt panel being of much use. That might put back 15 minutes of cook time a day +/- depending on heat setting of cooker and sun, orientation of panel etc. But you can see two bad weather days might be a problem if you cooked a couple of meals a day.
I think if you are talking minimal heat some soup, or make a heated sandwich type cooking (which can be a great thing on an nasty day) you might get away with 2 batteries but as Brian explained at full power for 15 minutes you draw approx. 30 amp hours, typical battery holds 100 Ah +/- you can only use 1/2 or 50 Ah. That would be approx. 23 minutes or so until a dead and possibly permanently degraded battery.
Two batteries won't exactly double that but close enough. Now this assume your not drawing a lot of power for other things during this inclement weather when outside cooking is unpleasant or impractical. And that the battery is fully charged to start with to get you the 23 or 45 minutes of cook time on high.
Not a lot of people do cooking using AC appliances running off of batteries, mostly because it tends to be sort of impractical in a small camper to have the power to meet that need for any real length of time. Not impossible, or evil, or anything like that but there are factual reasons it is not all that common.
Those are not argumentative observations or quibbling they are just factual things to consider that might lead you to ask questions about overall power consumption, specifications of batteries, How much solar, or how much cooking etc. Questions that will allow you to plan accordingly to meet your needs comfortably. This stuff is always a trade off.
You might use one of those watt meters and the cook top, heat a can of soup, make tea or water for a freeze dried meal, heat an MRE or whatever you would want to do in the boondocks and see how much power it really uses. After that it is just basic math.
You might also want to look at alcohol stoves, not for inside but since the fuel is much less volatile you might find it a safer alternative for cooking under a tarp or awning
in bad weather Like this one The Solo Stove Alcohol Burner
You still don't want to spill burning alcohol but it won't flash up or explode and is not even super flammable if spilled. Just a possible alternative.