I didn't find this marriage in Ancestry nor in FamilySearch and the data bases found at http://ector.hictorictexas.net/marriages
Maybe they didn't marry in Ector Co?
You can contact the permian Basin Genealogical Society, www.permiangen.com
and ask if they keep marriage records.
You can contact the Ector County Clerk, www.co.ector.tx.us/default.aspx?Ector_County/County.Clerk
. However if you order a copy from them and they don't have the record, they will charge you. Successful Searching!