Edwards told Hunter that the ceremony would be held on a rooftop in New York and the Dave Matthews Bands would make an appearance, the newspaper said, citing its examination of the book proposal.
St. Martin's Press has said Young signed a book deal with the publisher in June and it involved a strict confidentiality agreement. A spokesman for the publisher did not immediately return a phone message and e-mail seeking comment Saturday.
Edwards has said the affair with Hunter ended in 2006. That year, Edwards' political action committee paid Hunter's video production firm $100,000 for work. Then the committee paid another $14,086 on April 1, 2007. The Edwards camp has said the latter payment from the PAC was exchanged for 100 hours of unused videotape Hunter shot.
The same day, the Edwards presidential campaign had injected $14,034.61 into the PAC for a "furniture purchase," according to federal election records.
Edwards, a U.S. senator representing North Carolina from 1998 until his vice presidential bid in 2004, acknowledged in May that federal investigators are looking into how he used campaign funds. Grand jury proceedings are secret, and the U.S. attorney's office in Raleigh has declined to confirm or deny an investigation.
Edwards adamantly denied during an interview with ABC News last summer that he had fathered a child with Hunter, and he welcomed a paternity test. His wife, Elizabeth, has said she doesn't know if her husband is the father.
Young said in 2007 he was the child's father. Hunter said around the same time that Young was the father and the birth certificate does not list a father's name.
Michael Critchley, Hunter's attorney, declined to comment Saturday. A lawyer for Young did not immediately return messages left at his office Saturday.
Joyce Fitzpatrick, a spokeswoman for Edwards and his attorney, Wade Smith, said that Edwards would not comment Saturday. Smith has said Edwards may make a statement at some point in the future about the paternity of Frances Quinn Hunter, who is 19-months old, but there was no timetable for that.
Young hasn't spoken publicly since saying he was the father in 2007 and has repeatedly ignored reporter requests for interviews. Young got his last campaign paycheck in the middle of November, a month before he and Hunter publicly declared through attorneys that he was the father. Fred Baron, who was Edwards' national finance chairman and a wealthy Dallas-based trial attorney, said last year he quietly sent money to Hunter and to Young's family to resettle in California.
Baron, who died following complications from cancer just a few months after Edwards acknowledged the affair, said he provided the money on his own, to "help two friends and former colleagues rebuild their lives when harassment by supermarket tabloids made it impossible for them to move forward on their own."
The New York Times said the book proposal states Edwards knew from the start that he was the father of the child and expended considerable effort trying to conceal that. The proposal says Edwards pleaded with Young to claim paternity and asked Baron to check whether a doctor would fake the results of a paternity test.