Hillary Clinton is trying to muscle her way back into the political dialogue this weekend after being yanked off the stage by a verbal battle over foreign policy between GOP heavyweights and Barack Obama.

Arguing she's still got a popular vote advantage and warning voters not to count her out, the New York senator campaigned Saturday in Kentucky, where she leads by double-digit percentage points in state polls. That comes after she visited Oregon on Friday and unveiled three new ads in both states, including one that pokes fun at Washington pundits fixated on the presidential horse race.

"You've seen all those folks on TV. They keep telling me to quit," she said Saturday in Loretto, Ky. "Well, I don't know, maybe I was just raised with the kind of values you were raised (with). You don't quit on people and you don't quit until you finish what you started and you don't quit on America."

She blasted President Bush for being unable to persuade Saudi Arabian leaders to boost oil production significantly during his trip to the Middle East, and she continued to call for a summer gas tax holiday.

But Obama is leading handily in Oregon, which votes alongside Kentucky on Tuesday, and with a recent haul of superdelegate endorsements he is almost within 100 delegates of clinching the nomination.

Both candidates were distracted Saturday by news that Massachusetts Sen. Ted Kennedy had been taken to a Boston hospital after suffering two seizures. Kennedy is a major Obama supporter, and both candidates expressed their concern for his condition.

Click here to read more about Kennedy's hospitalization.

But Obama, while campaigning in Oregon, continued to draw attention to his foreign policy dust-up with Republicans, who went toe-to-toe with him Friday over his diplomatic positions. Since becoming the Democratic front-runner, Obama has been a popular target for conservatives.

President Bush touched off that debate when he criticized politicians who would negotiate with tyrants during an address Thursday to the Israeli Knesset. Obama, who has stated he would engage nations like Iran directly without preconditions, took the remark personally, and he and other Democrats slammed Bush and presumptive GOP nominee John McCain for what Obama described as an isolationist foreign policy approach.

McCain and other Republicans fired back that Obama was naive and "reckless," giving a preview of a debate to come should Obama become the nominee.

In what could be perceived as an attempt to enter the battle, Clinton ended up defending Obama -- traditionally a role that a vice presidential candidate or party surrogate would play in the fall election.

But Clinton, despite the grim delegate math, is continuing to tout scenarios in which she emerges the victor.

"I am leading in the popular vote," she declared Saturday, touting her electability and her big win Tuesday in the West Virginia primary. "If you look at the states we have to win, if you look at the big states and you look at the swing states, I am the stronger candidate."

Her campaign issued another call to supporters Friday evening to petition the Democratic National Committee to count the Michigan and Florida primaries. Clinton won those January contests, but the states had been stripped of their delegates as punishment for holding primaries before Feb. 5.

Though neither candidate campaigned in the states and Obama wasn't on the ballot in Michigan, Clinton claims she has a popular-vote lead by counting those wins in Michigan and Florida. A rules committee of the DNC meets May 31 to consider the issue.

But the delegates, not the popular vote, decide the nomination. And without resolution on the Michigan and Florida delegates, Obama is in striking distance of the 2,026 needed to sew up the nomination.

Obama has climbed to 1,905 delegates, according to The Associated Press count. Clinton has 1,719 delegates.

FOX News' Aaron Bruns and Bonney Kapp and The Associated Press contributed to this report.