In the county recorder's or clerk's index, search the assessor's owner name as grantee, the party receiving title. The newest indexed deed into that name gives you the grantor, the recording date and the instrument number. Open the document and read four things: the instrument type, the legal description, the parties and the interest conveyed. A correction deed or a deed of a partial interest sits in the same index as a full sale, and the index entry alone doesn't show which one you have.
Then search the same name as grantor, from that recording date to today. This shows whether the owner has deeded the property away since. A later instrument out of that name for the same legal description is a recorded change, and it needs the same reading before you conclude that the property changed hands.
When the roll and the latest deed name the same party and nothing later is indexed, that party is your working answer for the owner of record on the day you searched. Keep the search date with the county, the APN, and the deed's type, recording date and instrument number. Each office's file shows only what it had processed by then.
The answer is still a statement about records. Jefferson County, Texas says its clerks do not determine the validity of documents or verify ownership of property. A recorded deed shows that an instrument naming a grantor, a grantee and an interest was recorded on a given date. Whether that deed is valid, and what has happened since, are outside the index.