Someone in Costa Rica would accept the winning ticket on behalf of Ms. Doe in exchange for $1 million, travel expenses and “warm clothes to wear in New Hampshire.” Other people wrote simply asking for handouts.

The outpouring of appeals, outlined by Ms. Doe’s lawyers in legal papers, underscored the point they tried to make on Tuesday in a courtroom in Nashua — that sudden wealth exposes an unsuspecting citizen to vultures, swindlers and other parasites who harass the winner in an attempt to leech off some of the money for themselves.

The lawyers said they want to keep their client’s real name private to protect her from what they described as “violence, threats, harassment, scams and constant unwanted solicitation” that have befallen previous lottery winners.

But New Hampshire’s lottery commission takes a very different stance, arguing that the state has an overriding interest in disclosing the names of lottery winners — not to satisfy the curiosity of…

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