"Please allow me to introduce to the world Luca Lynn Miller," King said on Monday's CBS Mornings, as photos of the growing family, which were first shared with Oprah Daily, were shown. "His middle name is Lynn. Virgil lost his brother earlier this year so little Luca has his uncle's middle name. We already call, his initials are LLM so we call him LL Mill. LL Cool Mill."
King went on to reveal that she traveled to meet her first grandchild on Friday, when her daughter returned home from the hospital.
"It was the Lion King scene where they hold the baby up," King quipped, as fans saw a pic of her feeding her grandson. "That's how I felt about this child. I have wanted to be a grandmother for a long time."
"It's really something when you see your own child become a parent. I am so nuts about it," she added. "I was holding him, Kirby was like, 'You have to support his neck.' I said, 'Yeah, OK, I actually know how to do this.' But I am so grateful."
King concluded by once again offering her congratulations and gushing over her grandson.
"Congratulations to my favorite daughter and favorite son-in-law. Now I have a favorite grandson," she said. "I didn't even wanna hand him back when he was crying. I didn't wanna let him go."
King first shared the news that she was going to be a grandmother during an April episode of the morning show. Around the same time, she appeared on The Ellen DeGeneres Showand revealed why she was hoping her first-born grandchild would be a boy.
"Listen, I'm the oldest of four girls," she said. "My whole life I wanted a big brother. My whole life. I just saw that people with big brothers were lucky. So I always like a firstborn to be a boy, then the second one is a girl. Then you have a big brother that takes care of you. That’s just my own little fantasy."
In June, King gushed about her first grandbaby-to-be in a sweet Instagram post. "Swipe left FIRST GRANDCHILD on the way!" she wrote alongside a series of family photos from a summer vacation in which Bumpus cradled her growing stomach. "Fav daughter @kirbybump baby is cooking!"
"Katy Perry's very nice. She knows that my first grandchild is on the way. So she took us to her favorite child store, which also happens to be in Santa Barbara, Chicken Little," King told ET's Rachel Smith. "She walked us through things that she thinks Kirby would like."