From the entry on Wikipedia for another Chilton Price song, Slow Poke:

"Slow Poke" is a popular song.I is credited to three writers: Pee Wee King, Redd Stewart, and Chilton Price. Actually Price wrote the song in 1951, as she thought the song described her friend, King, very well. King recorded the song and Stewart did the vocal. Price gave rights to the other two in exchange for publicity, as she felt she knew nothing about the music distribution business. The song did so well commercially that when Price wrote the song "You Belong to Me" the next year, she felt she could do better by ceding partial credit for authorship to King and Stewart than trying to publicize the song herself, so that song as well was credited to King, Stewart, and Price, though Price was the sole author.