Broccoli Cheese Soup

1 lg bunch broccoli cut into small pieces
1/4 cup butter (1/2 cube)
2/3 cups diced onion
2 Tbl flour
2 cans chicken broth
2 cups milk (or half & half)
3/4 tsp salt (if needed)
1 cup of shredded cheese

Cook broccoli in 1 1/4 cups water with 1/2 tsp salt until tender. Drain, Reserving liquid. Set aside.
Melt butter in saucepan. Add onion and cook until soft. Blend in flour. Cook for 2 minutes. Stir in chicken broth. Cook stirring constantly until mixture boils. Stir in 2 cups milk (can use half & half) plus one cup of the reserved liquid from the broccoli. Add 1/2 tsp Worcestershire sauce and 3/4 tsp salt (I always use 1 chicken bouillon cube to 1 cup water for the chicken broth. If you use the boullion, you probably won't need any additional salt). Add the broccoli. Heat but do not boil. Stir in cheese. Makes 2 quarts.