Should Jeb Bush run for president? Barbara, George W. disagree Florida Gov. Jeb Bush, left, walks with his brother, President Bush, center, and first lady Bush, right, at their arrival at Fort Lauderdale/Hollywood International Airport Saturday, Oct. 16, 2004 in Fort Lauderdale, Fla. Former first lady Laura Bush shares tour of new Bush center Presenting former Secretary of State Hillary Clinton with a rare break from 2016 presidential speculation, spectators this week have focused on another possible 2016 contender - former Florida Governor Jeb Bush - as his brother, former President George W. Bush, prepares to open his presidential library in Dallas. But amid a barrage of questions about the younger Bush brother's presidential prospects, it appears not everyone in the family is on the same page about whether or not he should get into the race. "He's by far the best qualified man, but no," said his mother, former first lady Barbara Bush, in an appearance today on NBC's "Today," when asked if she'd like to see Jeb run. I really don't. I think it's a great country, there are a lot of great families, and it's not just four families or whatever. There are other people out there that are very qualified. "We've had enough Bushes," she said. I don't think he'll run. George W. Bush, on the other hand, says he's all for another Bush presidential bid. "He would be great," the former president told ABC, of his brother. He'd be a marvelous candidate if he chooses to do so. He doesn't need my counsel because he knows what it is, which is: Run! Incidentally, another former first lady in the Bush family, Laura Bush, agreed with her husband, telling CBS News' Charlie Rose, "I'd love to see Jeb run," and calling a potential Jeb Bush vs. Hillary Clinton race "interesting." "We think Jeb would be great, he's a wonderful man," she added.