Jimmy Fallon returns to "The Tonight Show" after mother's death; plus Taylor Swift sings her new song "New Year's Day"

Jimmy Fallon returned to "The Tonight Show", after cancelling an entire week of the show, due to his mother passing away on Nov. 4 at the age 68.

During the show, Fallon addressed the role her mother played in his career and The Tonight Show, saying: "She was the best audience, she was the one I was always trying to make laugh. She was such a fan of the show and everything I did"

Then Fallon got more personal, recounting a family anecdote:"When we were little, my mom would walk us to the store -- me and my sister -- and we would hold hands. She would squeeze my hand three times and say, 'I love you.' And I would squeeze back, 'I love you, too'. Last week, I was in the hospital and I grabbed her hand and I squeezed, 'I love you.' I just knew we were in trouble, you know?""

Fallon went on to thank his fans: "I feel so grateful to be able to do this every single night, and I'm very appreciative of all the support from all of you that my family received over the past week. We're going to continue to work really hard to bring some light and some laughter into the world. Thank you for watching. Thank you for helping me and my family recover from this loss”.

As part of Fallon's "homecoming", Taylor Swift also appeared on the show to sing "New Year's Day" from Swift's new album "Reputation".

After the show, producer Mike DiCenzo took to Twitter to thank Swift for her impromptu appearance: "[Taylor] was not scheduled to do our show today. But we wanted something special for this first show back, so we asked her on a complete whim since she [Taylor] had been in town doing SNL and she said yes with zero hesitation"