(CNN) Leon Redbone, the famously mysterious musician whose strummy, Ragtime-style crooning seemed to emanate from a bygone era, died Thursday at age 69.

"He departed our world with his guitar, his trusty companion Rover and a simple tip of his hat," read a statement on his website , which joked that Redbone had "crossed the delta for that beautiful shore at the age of 127."

With his signature Panama hat and dark sunglasses, Redbone rose to fame in the '70s folk scene when Bob Dylan sought him out at a Canadian music festival, according to a biography on Redbone's website

A prolific live performer

He was a prolific live performer and released more than 15 albums over a four-decade career.

With his distinctively nasal, sing-songy baritone lilting over an acoustic guitar, he gained a devoted fan base and became a regular on Johnny Carson's "Tonight Show." More recently, he served as the voice of "Leon the Snowman" in Will Ferrell's 2003 holiday hit "Elf."

In concert and in interviews, Redbone remained elusive about his past. When asked for a biography for a music festival program, he wrote: "I was born in Shreveport, La., in 1910 and my real name is James Hokum" — none of which appears to be true.

"Some people seem to believe that as soon as you perform on stage you lose your rights as a private citizen," he told Maclean's , a Canadian magazine, in 2001. "They want to find out who I am, what I am, where I was born, how old I am—all this complete nonsense that belongs in a passport office."

His wife and manager, Beryl Handler, confirmed to the Washington Post that he was born in 1949, in Cyprus. Redbone's publicists announced his retirement in 2015, citing health concerns.

The statement on his website announcing his death closed with a wry farewell: "To his fans, friends, and loving family who have already been missing him so in this realm he says, 'Oh behave yourselves. Thank you... and good evening everybody.' "