Okay, damage assessment phase is behind us. Sparkly didn't ruin them .... but she **sure** came thiiiiiiiis close!
This is a picture of the inside of the pot she used.
If you look close you can see ovals in the silvery color of the tin lining. That is scarring from the eggs being at the hottest spot. Now, this pot was black as coal when this happened. I cleaned it out with some Bar Keeper's Friend. I've used this in the past to clean the insides. I use it regularly on the outsides.
After I got down past the black, I called a copper retinner (actually, Fantes in Philadelphia) and spoke to the head retinnerguy. He said the lumps won't matter at all. It is only when copper is visible that they need to be redone. A worse overheating could well have caused the tin to melt further and run, but that clearly wasn't the case here.
As to copper needing a lot of care (as noted upthread) ..... there's some truth to that, to be sure. But it isn't mystical and it really isn't difficult. The biggest issue, really, is to not overheat them. So long as there's some moist food or liquid in them, they take as much heat as any other pot. Overheating happens when they're preheated (be very attentive when doing this) or when they boil dry, as happened last night to Sparkly. Normal care is easy. Usually, I just wash them, dry them, and put them away (some hang and some live on a shelf). Yes, they have all sorts of shades of color on them. That's from direct exposure of the copper to the fire of the stove and its normal. Every once in a while, I'll yank out the Barkeeper's Friend and clean the outsides. It takes all of 30 seconds to a minute to do it and consumes one paper towel and a few sprinkles of the Barkeeper's. Here's a picture I just now took of the copper we have. As you can see, the bottoms of every one of them have a dark/light pattern. They appear ... well ..... used. Cuz they are.
The tin linings normally turn dark from age and from use. That's absolutely normal and part and parcel of using tin lined copper. It can be lightened, as I described above, but that also reduces (by a very minuscule amount each time) the life on the lining. Kinda like polishing the detail off silver from polishing too often, you simply reduce the thickness each time you do it. Dark tin (from use, not from overheating) hurts nothing. As I said, its normal. If you want to have shiny interiors, they now make copper with a stainless interior instead of tin. The downside is, it loses some of the best properties of copper and tin .... excellent heat transfer and control.
Copper, no matter the lining, is pretty much forever and will easily last three lifetimes. While polishing will have the same effect, the copper is much harder and waaaaaaay thicker than the tin, so the effect of polishing is virtually insignificant. The only time copper **needs** to be polished is when it gets too darkened. That impairs the thermal properties. If one didn't care about the aesthetics, one could leave copper alone for several years before it really needed a polishing.
We kinda like the look of it with some sign of use, so we don't obsess over the polishing ..... just every once in a while.
Now ..... I **am** gunna get that 10 quart jobbie, though. The privilege of being the aggrieved party, yanno! :)