Lucille Ball's granddaughter has fond memories with the comedy icon, whom she simply remembers as her Nana. Speaking to Hoda Kotb on Monday's episode of the show, Kate Luckinbill-Conner, who is Lucille and Desi Arnaz's granddaughter, shared her favorite memory of her late grandmother.The star died in 1989, while Desi, whom the actress was married to from 1940 to 1960, died three years prior in 1986.