And she has particularly seething anger towards one man, Larry Johnson, a former employee at Alcor who wrote a book, "Frozen," three years ago, alleging mistreatment of Ted Williams' body at Alcor.
In 2009, Johnson told "Nightline" that Williams' head remained in a malfunctioning machine for more than a year.
"They put his head into a vessel called the Cryo-star, which is really not meant for freezing human heads, OK? It was faulty, they didn't know how to use it ... It was malfunctioning. The temperatures were -- there were some very dramatic swings."
At the time, "Nightline" found part of his account seemed to be incorrect. And in February, as part of a confidential legal settlement with Alcor, Johnson recanted parts of the book. Alcor provided ABC News with part of a statement made by Johnson in that confidential settlement:
"My account of the Ted Williams cryopreservation, which was not based upon my first-hand observation as noted in my book, is contradicted by information furnished by ALCOR. I am not now certain that Ted Williams' body was treated disrespectfully, or that any procedures were performed without authorization or conducted poorly."
Neither Johnson nor his attorneys responded to ABC News' request for comment.
Claudia Williams wants to put that all behind her and move on. "Everything that we did, we did as a family and we did it with love and there were very good intentions," she says.
The auction, conducted by Hunt Auctions, is one way to reclaim Ted Williams' legacy. The items for sale offer an unprecedented view of Williams' accomplishments.
"He couldn't touch anything without being excellent at it," says Claudia.
He was a legendary fisherman who tied his own flies. (Claudia says the nickname he gave her was "Blond Bomber," after a fly he liked to use fishing in Canada).
Williams was also, quite literally, an American hero, a fighter pilot shot down during the Korean War.
The auction will feature memorabilia from his fishing life, and his military career. Part of the proceeds will be donated to the Jimmy Fund, one of Ted Williams' favorite charities, which is devoted to cancer research and treatment. It also includes letters from U.S. presidents who revered the ballplayer.
Claudia Williams remembered a meeting with President George H.W. Bush, who seemed flat-out giddy to meet her father.
"He was so excited to meet my dad," she recalls, "He walks right up to Dad, and gives him a bear hug."
With the auction, it is that Ted Williams she hopes the world will see.
"I'd like them, ideally, to recognize what a great man he was," she says. "Not just a baseball player, but American hero."