Kinda depends on what it really is. The Lodge L14SK3 is a 15" skillet with about a 12" cooking surface, or there is the L12SK3, which is about 13.25" across the top. You could ask the seller what numbers and letters they see on the bottom near the logo. I think you're looking at the L14SK3, which sells on Amazon for $50, so $20-25 would be a pretty good deal.
We have this one (as well as a couple of smaller ones), but surprisingly we use this giant one the most often! Both Lodge and "Bayou Classic" both seem to have 2 handles on the larger ones, which is almost a necessity because anything 12" or above gets REALLY heavy, especially when filled with food.
I have a lodge 15 inch cast iron skillet as my largest skillet. It's huge and weighs about 10 lbs, but it's fantastic for searing a meal's worth of chicken and finishing in the oven.
Other options that fit are 2 porterhouse steaks or 9 -10 strips of bacon. I rarely use it to cook entirely on the stove top since my electric range only covers 12 inches. Whatever I make ends up in the oven.
Definitely worth it for being my favorite piece, and one that generates the most conversation when guests see me using it!
If she likes Lodge, maybe just stick with that. It might be kind of heavy if she does a lot of lifting the pan while cooking which isn't very common, so that probably won't be an issue.
If it is, there are some modern CI that are much lighter than brands like Lodge similar to the weight of what Wagner and other brands use to make. I like Field, but it is spendy.
Size wise, if 10" is too small, the next size up would be 12", but that probably won't be enough of a difference if she is looking to cook a lot of food at the same time in one pan. You probably want to go with a 14" pan. Lodge makes a 14.5" pan. That's probably your best bet.
If you don't think that is large enough, there is also a 17" option.
Okay, do you have suggestions for specific items?
Not sure what else is used 99% of the time.
About the iron skillet, I had this one and apparently it is supposed to be good but it had a bump in the middle form day 1 that pissed me off.
https://smile.amazon.com/dp/B00063RWUM
Based on reviews, that was the case for many people. Not sure how common it is.
The current style (small egg logo) used #14 Lodge skillets average $45 including shipping in online auctions. Wild since you can get a brand new one for $50 on Amazon, free Prime delivery too.
Why? Isn't this the same one as this?
And this one :-)
Lodge L14SK3 15-Inch Pre-Seasoned Cast-Iron Skillet https://www.amazon.com/dp/B00063RWUM/ref=cm_sw_r_cp_apa_1n49zbJYS7XM8
Cast iron! Worth every penny.