In a statement released Tuesday, Jenny Stone also thanked everyone who has reached out to help her family since her husband, Shannon Stone, died Thursday night.
Among those mentioned were team president Nolan Ryan, former President George W. Bush and a man who helped care for young Cooper the night his father died, and then visited the grieving family on Sunday.
"We are also thankful for Nolan Ryan, Josh Hamilton, the Texas Rangers, the Rangers fans, and all baseball fans, which have showed such concern and compassion," Jenny Stone wrote in her first public comments. "While I was certainly surprised to hear Nolan Ryan on my phone on Friday morning, I was not surprised that he would act just like we all see him, as a true Texas gentleman. Josh Hamilton remains Cooper's favorite baseball player, the Texas Rangers will always be our team, and baseball will always be our favorite game. ... Shannon loved going to watch the Rangers and he loved Cooper. And, at the very end, he lived life to its fullest, doing something he loved."
The 39-year-old Stone lost his balance reaching for a ball thrown by Hamilton -- Cooper's favorite player -- and fell headfirst 20 feet onto concrete. He died an hour later.
Hamilton, in Phoenix for the All-Star Game, said he plans to reach out to the Stone family at some point.
"Obviously, I want it to be personal, face to face," he said Monday. "I'd love to know what kind of man Mr. Stone was and just meet his wife and his little boy and see where it goes from there. ... Nothing we can do is going to bring him back. But the organization can take care of the family and see that everything is going in the right direction."
Two nights after Stone's death, Hamilton hit a game-winning, ninth-inning home run for the Rangers, a release of sorts for a man who was once addicted to drugs and lives with an abundance of Christian faith. He was simply tossing the ball toward a fan who had a young boy with him.
"Just a random act of kindness turned tragic," Hamilton said. "It just lets you know how quickly life can change, just in a blink of an eye, that quick."
Stone was remembered during ceremonies in Brownwood on Sunday and Monday. The memorial drew about 1,000 people.