Eagle Spring is a physical feature - a spring for running water - located within Sandoval County, New Mexico and is located in the New Mexico Zip Code delivery area of 87013.
In 1854-1855, Eagle Spring, Territory of New Mexico was the site of an engagement between a small unit of the U.S. Army and some local natives. It was at this engagement that the U.S. Army's Frank Crawford Armstrong fought bravely enough to earn himself a Commissioned Officer appointment in the U.S. Army as a Lieutenant.
References
Eagle Spring Wikipedia(Text) CC BY-SA