She does have another name in mind.

In the South, grandmas go by many names. You have your Memaws, your Gagas, your Nanas, Yayas, and Cookies as well as your Gigis, Gogos, and Grannies. While picking a child name is a tomfoolery challenge, sorting out what to call grandmother can be troublesome, as well. Kathie Lee Gifford, however, has everything sorted out.
Gifford turned into a grandma on Tuesday when her child, Cody, and his significant other, Erika, invited a child kid into their loved ones. Like any glad grandmama, Gifford called into share the uplifting news with her Today show companions Hoda Kotb and Jenna Bush Hager and, obviously, the fans watching at home.
Gifford let Hoda and Jenna know that she would rather not be called grandmother. Gifford made sense of that she has a companion with an Israeli mother who gave her a thought. "I asked her, I expressed out loud whatever's a good word for a Jewish grandma?" Gifford said when she called into Today with Hoda and Jenna. "What's more, she goes, 'Bubbalah. It's Bubbie.'" Bubbie is the Yiddish word for grandma.
"Furthermore, it signifies 'dearest one,' like 'valued one,'" she added, as indicated by Today. Furthermore, the name is simple for even the smallest of youngsters to articulate. "A small child just goes, 'Buh, buh, buh, buh, buh,' at any rate. I believe it will be simple. Bubbie," she said, per Today. Presently, on account of her companion's motivation, Gifford is getting from Yiddish custom for her new name that she will without a doubt prize more than some other.