I am not sure exactly you are asking, "What do I need", but in general.
Inverter to make DC battery power to 115v AC.
Battery
Solar battery charger
Solar panels
If the stove is up and running, you can plug in a Kil-a-watt meter (between the outlet and the stove) to measure the stove power usage over a day, or several days. I would expect to run an auger for only part of the time. If it has a fan, maybe part time as well. You know the power for the pump.
So if you use 500 watt-hours per day (0.5 Kwh) you would need a battery large enough to carry you through some number of cloudy days, if you don't have your AC to fall back on. If you have the AC to fall back on, the battery could be smaller.
If this is the only load, a 1000 watt inverter should be plenty big, but we still don't know the stove's load in watts. You need to know your battery size before you can correctly size the solar panels that you need.