AMY CARTER'S White House memoirs?

A top New York publisher says he doesn't care if agents call him or not about the reminscences of Jimmy and Rosalynn, Ham and Zbig.

It is Amy, the Eloise of the Executive Mansion, who has some of the juiciest untold stories about life during the four years of the Carter Administration.

Sample:

While doing her homework one Friday, Amy had a question about the Industrial Revolution.

She took the question to her mother.

Rosalynn Carter didn't understand the question, either, and told one of her aides to call the Labor Department for the answer.

The homework was due on Monday.

On Sunday afternoon a truck arrived at the White House loaded with computer printout material. Thinking the question was for a serious presidential inquiry, someone at the Labor Department had kept a computer team working overtime all weekend.

A horrified Rosalynn Carter was told the research "had probably cost hundreds of thousands of dollars in overtime."

And Amy got a "C" on the paper.

A misunderstanding about the Foreign Gifts and Decorations Act caused some of President Reagan's birthday party guests to put a $20 limit on the gifts they gave him.

Mexican businessman Diego Redo, one of "The Group" with whom the Regans regularly socialize, was chuckling at himself because he and his wife and two other couples had pooled $60 together to buy the President a silver frame.

"It's hard to find anything for $20," he said. "Next year for his 71st birthday, I'm going to find something in Mexico that can be made special so that it doesn't look like it cost more than $20."

Redo and the others had been under the mistaken impression that there was a law that made anything valuable "a gift to the nation that belongs to the nation."

When told that gifts from private citizens don't fall under that law, Redo said, "I'm sure that there is no one in the entire 'Kitchen Cabinet' who knows that.

"Before the election," Redo said, "when our president Jose Lopex Portillo, wanted to give Reagan that beautiful white horse, he had our ambassador in Washington find out about that law -- that's why he gave it to him before he took office -- so that he could keep it."

Ronald Reagan in the old days in Hollywood used to like nothing better than standing by the swimming pool, fly-casting into a rubber tube.

That's one of the things his onetime agent, sports figure Sonny Werblin, likes to kid the President about when they get together.

Werblin, the former New York Jets owner who is chairman of the Madison Square Garden Corp., was one of the guests at the President's birthday party Friday night.

Werblin also like to remind the President of an evening when he took him to dinner at Frankie and Johnny's New York. Reagan had a broken ankle and had to walk up two steep flights of stairs on crutches with a cast.

"But he made it," chuckles Werblin. "He always was very intense."

Ted Kennedy sauntered into the bar at the Hay Adams Hotel after work Tuesday to meet friends. Looking around for a chair to pull up to his friends' table, Kennedy was given one by an AFL-CIO executive who told the Senator the chair was organized labor's contribution to his campaign.

One room at the White House that won't need to be updated by the Reagans is the private movie theater on the ground floor.

Last April, White House Preservation Fund trustee Allan Carr (who produced "Grease" and "Can't Stop the Music") gave the fund $15,000 to but new equipment.

Even Frank Sinatra appears to be feeling the economic pinch.

In past years he has bought thousands of dollars worth of "inexpensive" gold watches that cost only $200 to $300 to pass out as tips.

This year, says a source who sells them to Sinatra, he bought only six from him.

Labor Secretary Ray Donovan had no doubt about his confirmation. He had already bought a very expensive house in McLean.

Energy Secretary James Edwards and his wife also bought on the Virginia side of the Potomac, while Secretary of State and Mrs. Alexander Haig have been looking in Potomac, Md.