In the town of Socorro try the county clerk's office and the LDS family history center, which according to the LDS website is open only a couple of hours each Wednesday. You might stop by the local newspaper and ask what they might have. Most of my research has been on Socorro County was done out of Albuqueque, when I lived there many years back. In Albuqueque you have more LDS family history centers that are open longer, the UNM Zimmerman library, and the NM Genealogical Society, all with extensive records for Socorro County. I can't give further advice without knowing exactly what records your looking for. Good Luck.