(CNN) -- Caroline Kennedy, who spent most of her life looking to steer clear of the spotlight, is capping off a year of unusually public -- and political -- activity with interest in the Senate seat that would be vacated by Secretary of State-designate Hillary Clinton.

Caroline Kennedy could join her uncle Edward in the United States Senate.

And her interest in that seat could mean the continuation of a Kennedy legacy in the Senate that began 56 years ago with the election of her father, John F. Kennedy, as the junior senator from Massachusetts.

Her uncle Edward has represented Massachusetts in the Senate for more than four decades. Her uncle Robert served as junior senator from New York from 1965 until he was assassinated in 1968.

"Remember, [Clinton's] seat in the Senate was once held by Robert Kennedy," CNN Senior Political Analyst Bill Schneider said Saturday. "Her other uncle, Ted Kennedy, is ill right now. If [New York Gov. David] Paterson appoints Caroline Kennedy to the Senate, it means there could be a Kennedy staying in the Senate for quite a long time."

And a Senate appointment for Caroline Kennedy would mark a change for the woman who has rarely run into the glare of political attention.

"Apparently, she has acquired a taste for politics, having endorsed Barack Obama early this year," Schneider said. "She wants to be part of this new regime in America, clearly playing a key role in the Senate if she gets that appointment."  Watch CNN's Bill Schnieder discuss Caroline Kennedy's prospects Â»

Widely described as extraordinarily shy, self-deprecating and down-to-earth, Kennedy has tended to limit her forays into the public sphere to nonpartisan activity, penning books on civil liberties and serving as the de facto guardian of her father's legacy.

But in January, she backed a political candidate for the first time, announcing her endorsement of Obama during the Democratic primary season with an opinion piece in the New York Times that drew days of the kind of media attention she has spent her life avoiding.

"I have never had a president who inspired me the way people tell me that my father inspired them," she wrote. "But for the first time, I believe I have found the man who could be that president -- not just for me, but for a new generation of Americans."

Kennedy willingly lingered in the spotlight, serving on Obama's vice presidential search team, speaking at the Democratic National Convention and stumping for him through the primary and general election seasons.

In a campaign ad that featured video images of her father followed by images of Obama, Kennedy said, "People always tell me how my father inspired them. I feel that same excitement now."

There are a slew of high-profile candidates for Clinton's Senate seat -- including Attorney General Andrew Cuomo, whose last name carries some star power of its own in the Empire State -- but their odds grew just a bit steeper when stacked against the wattage of a storied Democratic dynasty.

Robert Kennedy was elected to the Senate with few ties to his adopted home state, but his niece's New York roots run deep.

Jacqueline Kennedy relocated to New York City after her husband's assassination in 1963, with children Caroline and John F. Kennedy Jr.

Caroline Kennedy has spent most of her life in the city, working there after graduating from Harvard, meeting her husband, Edwin Schlossberg, on the job at the Metropolitan Museum of Art and attending Columbia Law School there.

Her most prominent public roles to date involved overseeing her father's presidential library and presenting the annual Profiles in Courage Award.

She's also edited several books, from a volume of children's poetry and an updated edition of her father's book "Profiles in Courage" to a collection of patriotic verse ("A Patriot's Handbook: Songs, Poems, Stories, and Speeches Celebrating the Land We Love.")

Most of her leadership positions have been based in the arts: hosting the annual nationally televised Kennedy Center Honors in Washington and
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question: Who has expressed interest in Hillary Clintons office?, answer: Caroline | question: What did the Kennedy daughter say about Barack Obama?, answer: "But for the first time, I believe I have found the man who could be that president | question: What is the name of Kennedy's uncle?, answer: Edward | question: What office did Hillary Clinton fill at this time?, answer: Senate | question: Who has a history of avoiding the spotlight?, answer: Kennedy, | question: Who was she inspired by?, answer: Obama | question: What does Kennedy have a history of avoiding?, answer: the spotlight, | question: Who once filled the seat?, answer: Hillary Clinton. | question: Who was inspired by Barack Obama?, answer: Caroline Kennedy