Place leftover ham bone in large pot of water. Simmer for about 1 hr. During the last 30 min. add cubed red potatoes. Then once potatoes are tender, remove potatoes and set aside. Remove ham from pot and remove any ham from bone and return to broth.
In another large pot add butter, sliced carrots, sliced celery, sliced onion, and minced garlic. With lid on simmer for about 15 min. until veggies are tender. Add cooked potatoes to veggies. Stir and cook about 5 min. more.
Add flour to veggies and stir until mixed in well. Cook 5 min.
Add one can of evaporated milk and stir to combine.
Add ham broth and ham into mixture and stir well. Simmer for about 10-15 min till thickened.
Enjoy this creamy delicious soup with some grill cheese sammies.