Jones added her signature bluesy vocals to the single, which she performed while playing the piano. The audience sat mostly silent throughout her five minute cover, before breaking into a roaring applause.
His death came as a devastating shock to friends and family, including wife, Vicky Cornell, whom he married in 2004. The couple shared two children, 12-year-old daughter Toni and 11-year-old son Christopher.
"No one had any idea that Chris was going through a dark period in his life," a source revealed to ET after news of Cornell’s death spread. "His wife Vicky is absolutely devastated. They were kindred spirits -- so in love."
The late grunge singer's attorney, Kirk Pasich, confirmed to ET that Cornell was cremated on Tuesday, and will be laid to rest during a private service at the Hollywood Forever Cemetery on Friday.
Pasich also shared an update on Vicky, as she continues to grieve over the loss.
"Vicky is a very strong person," he noted. "She and Chris were always all about their kids. She's a strong person. She's coping with this as well as she can for her and the kids."