May 15, 2014 09:00 AM

Life couldn’t be sweeter for Drew Barrymore.

Days after the Blended star, 39, said “everything is just good as it could possibly be,” she continues in upbeat spirits during an appearance on The Ellen DeGeneres Show, airing Monday.

“I feel so good and happy,” Barrymore, who welcomed her second daughter, Frankie, on April 22, says with a huge smile alongside costar Adam Sandler.

“My kid is healthy. I have nothing to complain about. I’m so blessed.”

Michael Rozman/Warner Bros.

Contributing to her joyfulness is having her 19-month-old daughter Olive appreciate the new baby.

“She really gets that she has a sister and she says, ‘Frankie, sister,'” Barrymore explains. “And she loves playing with her and she’s not mad about it at all yet. She’s all positive at this moment.”

Barrymore also sheds some light on what went into the baby naming process the second time around — a story that she jokes is “not the most interesting.”

“It was just a name that came to my husband and I a few months before she was born, and we were sort of like, ‘I think this is it,'” she says. “And then we gave ourselves room to change our mind, but we never did. My mother-in-law’s maiden name is Franco and I love her so much that it reminds me of her as well.”

The actress and her husband Will Kopelman did have some other names in mind, but they encountered some conflicts.

“Every [name] started sounding like a color or a food,” she shares. “Hazel’s a great name. No, that’s two shades of green. And I love the name Pepper so much, but we were like, ‘Olive and Pepper. Like that’s two things you find in a pantry.'”

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