Presidential hopeful Sen. Barack Obama, D-Ill., takes credit for crafting immigration legislation. Rival Hillary Clinton, D-N.Y., claims championship of a healthcare program for poor children. Neither is exactly right, The Washington Post (NYSE:WPO) reported Monday.

"It's not an unusual matter for senators to take a little extra credit," Sen. Arlen Specter, R-Pa., told the Post.

When Clinton released more than 11,000 pages of documents from her years as first lady, the Obama campaign used them to argue she downplayed her role in the North American Free Trade Agreement and overplayed her roles in foreign policy and the Family and Medical Leave Act.

On a Federal Housing Authority bill, Obama reportedly claimed top billing with chief author Sen. Christopher Dodd, D-Conn.

Dodd said Obama -- as does Clinton -- support the bill, the Post said.

"I've talked to him about it at some length," said Dodd, an Obama supporter. "When Senator Obama was there for that full day of voting, we had long conversations about it. He had excellent questions and decided to support it."