Garfield, IndianaGarfield is an unincorporated community in Montgomery County, Indiana|Union Township], Montgomery County, in the U.S. state of Indiana.HistoryA post office was established at Garfield in 1880, and remained in operation until 1907. The community was named after James A. Garfield, 20th President of the United States.EducationResidents are zoned to North Montgomery [Community School Corporation] schools. Elementary students are zoned to Sugar Creek Elementary School. Secondary students attend Northridge Middle School and North Montgomery High School.