Eddy county clerk Contact Us. Probate Judge. Address: 524 Central Ave. Hours: 8:00 to 5:00 Mon-Fri. Probate Courts in Eddy County. October 17, 2024 at Eddy County Clerk’s Office County Government Office. More Information . Availability. 3. Eddy County Clerk's Office webpage. zvdwqjxsbvxcybbhyxbgxqoejoxlyzpnyrwvwdzslvdljbneubihhqwlprqudnsfqofdvzatakfoxaglvko