The winner of a $560 million Powerball jackpot has yet to claim her prize, but her lawyers say she is already being preyed upon and is highly stressed.

When the winner, known in court papers only as Jane Doe, said last month that she wanted to remain anonymous, New Hampshire officials said they could not give her the money — the seventh largest jackpot in United States history — unless her name was made public.

Since then, her lawyers have been deluged with offers from around the world of ideas for how she might get the money and still keep her privacy.

Dozens of people offered to legally change their names to match Ms. Doe’s in order to collect the money for her — for fees of $1 million or more.

A homeless mother of five in North Carolina offered to turn in Ms. Doe’s winning ticket in exchange for a six-bedroom house, a used car and a small trust for each of her children.