“There Goes My Everything” reached No. 1 on the Billboard country chart and No. 65 on the pop chart in 1966. It earned the deep-voiced Mr. Greene awards for single of the year and male vocalist of the year from the Country Music Association in 1967. That same year he began performing regularly at the Grand Ole Opry.
His other hits, mostly in the late 1960s, included “All the Time,” “What Locks the Door” and “Statue of a Fool.”
“There Goes My Everything,” written by Dallas Frazier, was covered by several other singers, including Elvis Presley. Engelbert Humperdinck’s version reached No. 20 on the Billboard pop singles chart in 1967.
“I had letters by the thousands from people who had lost loved ones,” Mr. Greene once said about the reaction to that song. “It touched a lot of people’s lives.”
Mr. Greene was born in Maryville, Tenn., where he started in radio at WGAP. In addition to singing and playing guitar, he played bass and drums in various groups. His big break came when the influential singer-songwriter Ernest Tubb hired him as his drummer in the early 1960s.