One Woman Man spawned four single releases. The title track, a cover of a song first popularized by Johnny Horton in the 1950s, was by far the album's most successful single. "(I'm a) One Woman Man" peaked at No. 5 on the BillboardHot Country Singles chart in March 1989, and to date is his last solo top 10 hit on that chart.
The three other singles were:
"The King Is Gone (So Are You)" – originally titled "Ya Ba Da Ba Doo (So Are You)," it's about a man who, in a drunken stupor, claims to have Elvis Presley and Fred Flintstone as his drinking buddies. The song peaked at No. 26 on the Hot Country Singles chart in the late spring of 1989. (The song's publisher changed the title to avoid a possible legal entanglement.)
Writing on the Wall," about a young man being asked to leave by his wife, and his children – aware of the situation – scribble their farewells on the wall using crayons. The song stopped at No. 31 on the Hot Country Singles chart in the late summer of 1989.
"Radio Lover," a murder ballad about a disc jockey who walks in on his wife while she is in the arms of another man. Originally included on Jones' 1983 album Jones Country, the original recording was included on One Woman Man and released as a single in the fall of 1989. The song peaked at No. 62 on the country chart.