Made with salvaged broth in which beef (ox) tongue slow cooked for six hours, all I had to do was simmer the corn and potatoes in the broth, then process everything with an immersion blender.
Peel the potatoes and cut into half-inch cubes. Add to the broth.
Cut off the corn kernels and add to the potatoes in the broth. Throw in the cobs too.
When the broth boils, lower the heat, cover the pot and simmer the vegetables for about 30 minutes or until the potatoes are quite mushy.
Taste the broth and add more salt or pepper, or both, as needed.
Take the pot off the stove, fish out and discard the corn cobs and plunge in the immersion blender. Process for half a minute then add the fried shallots. Continue processing until the soup is thick but there are still visible bits of potato and corn.
Stir in the butter until melted and blended, and serve the soup immediately.