Named after Mathew Ector, the county was formed in 1891 and its county seat is Odessa. Including Vital Birth and Death Records, Deeds, Probate, Property Records, Mortgages, Liens, Judgments, Marriage Licenses, Voter Registrar, Payroll, Military Discharges.Įctor County is located in the state of Texas. Lookup Public Records in Ector County, Texas.