Elmira is a city in Chemung County, New York, US. It is the principal city of the Elmira, New York Metropolitan Statistical Area, which encompasses Chemung County, New York. The population was 29,200 at the 2010 census. It is the county seat of Chemung County.
Chemung County is located in the Elmira, New York Metropolitan Statistical Area
The metro area is in the county, not the other way around. I think the system got it wrong because I mixed up the subjects in a confusing way