I got this recipe from a co-worker when I first started working as a nurse. We used to take turns bringing supper to work for those of us that worked the evening shift. My kids love this soup and ask for it every time the weather turns cold. I usually make it on the stove and then put it into the crockpot if I am going to serve it for supper.
In a large soup kettle or stockpot, bring water to a boil. Add the chicken soup base and then turn down heat and let simmer.
Chop onion, broccoli and cauliflower and add to soup. Cook until vegetables are tender.
Add in noodle soup mix and stir to keep noodles from sticking. If you can't find the extra noodle soup mix, add in 1 - 2 cups extra fine noodles. Note: Martha Gooch brand used to make the extra fine noodles but I can't find them any more.
Cube Velveeta cheese and add to soup once the noodles are done. Stir until cheese is melted.
Warm the half and half in the microwave. Add to soup and stir. Warming in the microwave helps to keep the milk from curdling if your milk is very cold.
At this point, you can either turn your stove down to the lowest setting possible and heat the soup until you are ready to serve it or put soup into a 6 qt. crockpot and heat on keep warm setting until ready to serve.