Cheesey Chicken Chowder

I got this recipe from Amy L and April H from church. It was a hit at my house!
3 cups chicken broth
2 cups diced peeled potatoes
1 cup diced carrots
1 cup diced celery
1/2 cup diced onion
1 1/2 t. salt
1/4 t. pepper
In a large saucepan, bring chicken broth to a boil. Reduce heat and add vegetables and seasoning. Cover and simmer until tender. In another saucepan over med. low heat melt:

1/4 c. butter
add 1/3 c. flour and mix well.
Gradually add in 2 c. milk and cook until thickened over low heat.
Gradually add 2 c. grated cheddar cheese and stir until melted.
Add this to mixture to broth/veggie mixture along with
1 can of cream of chicken soup and
2 c. of diced cooked chicken.