I've discovered a Socorro County Profile page on the website EPodunk. On this site, you can find links to census and demographic records, cemetaries, and ancestry and family history databases and websites. Although many of these links are for paid websites such as Ancestry.com, you may be able to find a few free links of interest. I especially liked the demographic information. It also appears that you can add content to the site.
To access the site, click on this link.