In a covered saucepan over medium-high heat, bring broth, corn, potatoes, carrots, onions, Worcestershire sauce, Marjoram and pepper to a boil, stirring occasionally. Reduce heat to medium. Cook until potatoes and onions are tender, about 3 minutes.

Whisk 1/2 cup of milk and flour into a bowl until smooth. Stir flour mixture into saucepan. Add ham and remaining milk. Cook over medium-high heat, stirring constantly, until mixture comes to a boil. Boil and stir for 1 minutes.