Recording Change of Ownership without Probate?

Both my parents passed away a few years ago and we didn’t probate anything because they didn’t have any assets - just living on Social Security. I have since learned that my father owned some mineral rights in Tyler County and had signed a lease with Antero. I have been told that an Affidavit of Heirship is insufficient to record the change of ownership with the Tyler County Clerk’s office. Is there any other alternative other than going through the probate process?