The community was founded as Zaragosa in 1919, then was changed to Delmita on April 1, 1931 because of confusion with the Reeves County community of Saragosa. The community's first post office was established soon after the community, and a new post office was constructed in 1991. Delmita's importance has declined through the years; in 1940, it was the most important community in the northeastern part of the county, but it has since been overshadowed by San Isidro.[3]