"She was the best audience, she was the one I was always trying to make laugh", he said.
The chat show host said he was greatly appreciative of the support he and his family received during such a hard time.
While singing "New Year's Day", Swift delivered a lyric which paraphrases Fallon's tender story - "Squeeze my hand three times in the back of the taxi".
Recent Price Moves Of Shares: KeyCorp. (KEY), Marathon Oil Corporation (MRO)
Virtus Investment Advisers Inc increased Cms Energy Corp (NYSE:CMS) stake by 12,261 shares to 19,512 valued at $902,000 in 2017Q2. October 17 investment analysts at Cowen and Company maintained a stock rating of "Buy" with a current price target of $60.00.
"Last week I was in the hospital and I grabbed her hand and squeezed "I love you" and I just knew we were in trouble", he said.
Watch Jimmy Fallon's tribute above.
Russia, China support Philippines in fighting terrorism, drugs - President Duterte
Since Duterte took office 16 months ago, police say they have killed 3,967 people in the crackdown on illegal drugs. He said he stabbed the person "just over a look".
Jimmy - whose comeback show also featured a surprise performance from Taylor Swift - said: "Mom, I'll never stop trying to make you laugh".
The singer, 27, performed her new single "New Year's Day" while playing the piano following the late night host's monologue.
Of the emotional performance, he said, "I almost gasped".
Magician Ajmal retires from cricket
In the 113 ODIs he played, Ajmal has 184 wickets to his name at an average of 22.72 and an enviable economy of 4.18. He was reported first in 2009, during an ODI series against Australia in the UAE, though he was cleared soon after.
Tonight Show writer and producer Mike DiCenzo took to Twitter for some background on Swift's performance and the emotions she wrought. "Tears. I think everyone in the audience started sobbing", he wrote. It was a lovely coincidence in a handsome performance. "She would squeeze my hand three times and say, 'I love you.' And I would squeeze back, 'I love you, too, '" he said. "'Hold on to your memories, they will hold on to you, ' Taylor sang".