She served as Director of Human Resources at the City of Burleson from 2000 until 2005. She served as a member of the public law section of the law firm of Taylor, Olson, Adkins, Sralla & Elam, L.L.P., Fort Worth, Texas, for eight years. She is a past president of the National Institute of Municipal Law Officers, an organization of city attorneys throughout the United States and Canada; a past president of the Texas City Attorneys Association; and a past member of the Board of Directors of the Texas Municipal League. Ms. Muncy worked in the city attorney's office, City of Dallas, from 1969 to 1991 and served as Dallas City Attorney from 1982 to 1991.