Former first lady Barbara Bush said her son George W. Bush should be the last in the family line of presidents, rejecting the idea of a White House run for her other son, Jeb Bush.

“There are other people out there that are very qualified and we’ve had enough Bushes,” she told TODAY’s Matt Lauer on Thursday from inside her son's presidential library.

When asked whether she expects Jeb Bush, the former Florida governor, to make a presidential run, Mrs. Bush said there are many worthy candidates.

“It’s a great country. There are a lot of great families and it’s not just four families,” she said.

“He’s the most qualified, but I don’t think he’ll run.”

Mrs. Bush spoke alongside two other generations of Bush women inside the George W. Bush Presidential Library and Museum in Dallas. Her daughter-in-law, Laura Bush, sat beside her two daughters, including new mom Jenna Bush Hager, who gave birth to a daughter earlier this month.

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“We’re so proud of him,” Hager told Lauer. “We walk into this museum, and you see baby pictures of us with him. That’s how we see him, of course, but more than that, we’re proud of his service to our country and everything he did.”

Her sister, Barbara Bush, said she’s enjoyed seeing her father honored for his service.

“It’s fun to celebrate him as a leader and a values-driven person, and to relive so many of the memories we had when he was a president and see the positions he took that we’re proud of,” she said.

Asked what the women miss about life in the White House, the elder Mrs. Bush said nothing except “maybe breakfast in bed.”

“You can’t miss something you don’t have,” she said.

Hager said she misses the White House employees, many of whom she and her sister first met when their grandfather, George H.W. Bush, served in office.

“We met them as little first graders, and then we grew up with them, so they became like uncles and cousins,” she said. “And they’re here today.”

Former First Lady Barbara Bush said her husband, former President George H.W. Bush, will attend Thursday’s dedication of the center. She said he’s been feeling well despite a recent health scare.

“It’s just the darn legs won’t work, but other than that, he’s perfect,” she said. “He’s sweet and loving and it must be frustrating for him.”

She said the opening of her son’s library has been “one of our happiest moments.”