Toni Cornell posted the duet of Prince’s Nothing Compares 2 U, along with a note thanking her father for his support.
“You gave me courage when I didn’t have any. You believed in me when I didn’t. I miss your love everyday,” the 13-year-old wrote in posts that accompanied the song on Instagram and YouTube.
“Recording this song with you was a special and amazing experience I wish I could repeat 100 times over and I know you would too.”
Chris Cornell, 52, died in May 2017 while on tour and his death was ruled a suicide. He was a leader of the grunge movement with Seattle-based Soundgarden, and enjoyed a successful career with other bands and as a solo artist.
Toni Cornell performed Hallelujah with One Republic on ABC last in August as a tribute to her father and late rocker Chester Bennington, who also died by suicide in July 2017.
Last month, Cornell’s widow, Vicky, held a vigil at a Los Angeles cemetery to mark the first anniversary of his death.
“It is with great emotion I reach out to all of you as the one year anniversary of my husband’s passing approaches. Chris was loved, so much, by so many,” she said in a statement.
“The children and I are so grateful to you all for being by our sides throughout all of this. Your love has created a close-knit community, more like a family, to grieve with, to provide support, and to help us heal. We could not have gotten through the last 12 months without you.”
She added: “We want to open this up to you, our extended family, and invite you to join us on this day of prayer and remembrance to pay our respects together.
“As we know, there are millions of fans and not everyone can physically be there. We would be honored if you share posts and videos of how Chris' music has touched you. We can feel your love no matter how far. Light a candle, say a prayer, speak his name.”
A father of three, Chris had daughter Lily, 18, from a previous relationship, along with daughter Toni, 13, and son Christopher, 12, with Vicky.