06/18/2010 11:02 am ET | Updated May 25, 2011

Scott Brown's Daughter Ayla Asks: Dad 'Would You Run For President?' (VIDEO)

In honor of Father's Day, CBS "Early Show" contributor Ayla Brown sat down for a one-on-one interview with her famous dad, Senator Scott Brown, and offered a glimpse into the family-man behind the Massachusetts Republican's public political persona.

"You know my dad as Senator Scott Brown, the Republican Senator who shocked the nation when he won the late Ted Kennedy's Senate seat," Ayla said. "But to me, he's always just been Dad -- the guy who taught me how to play basketball and how to ride a motorcycle."

The father-daughter segment featured footage of the Massachusetts Senator and the recently hired CBS personality facing-off in shooting some hoops as well as the pair zooming off for a motorcycle joyride.

Ayla also managed to bring up one of the more "embarrassing moments" to arise on the night the Senator won the Massachusetts special election for the late Ted Kennedy's seat:

After being elected, Brown gave a public thank-you to his family -- his wife, Gail, and his two daughters, Ayla and Arianna, "who, if anyone is wondering, are both available."

Ayla asked her dad what was running through his head when he told the public that both her and her sister are available.

"Are you scared or worried that I won't find someone?" Ayla kidded.

Brown answered, "I'm not worried about you or Arianna. You both are going to have nice lives. And if you make your mistakes, that's up to you guys now. I was just trying to be funny."

On a political note, Ayla asked her father if he'd ever consider running for president and here's what the recently-elected Senator had to say:

"If Mom, Arianna, and I all supported you in this decision, would you run for President?" Ayla asked.

But Brown simply laughed it off, responding, "My only goal right now is to be the best Senator for the people of Massachusetts."

WATCH: Ayla Brown's Interviews Dad Sen. Scott Brown In Honor Of Father's Day