I've canned both potatoes and carrots. They are very nice to have on hand.
I also like to can a mixture of potatoes, carrots & celery. I use them in a potato cheddar soup recipe that I have, but also use them for a lot of other quick meals: 1. Add canned beef chunks for a quick soup or 2. Drain and mix with a white sauce or cream of mushroom/chicken/celery soup, add chicken, ground beef, or beef chunks and top with a biscuit or Bisquick topping or pie crust for a quick "pot pie" .... to mention a couple of ideas. Sometimes I need a "quick" meal idea, and I'm trying to use fewer store-bought prepared meals.
After digging out potatoes, we sort out the small well. Those get canned or used first.