This cache is the Bonus of this series. It is named after Andy the boy who owned Woody
Andy Davis is the former owner of Woody, Buzz, Jessie and the other toys in each of the three films. He lived with his mother and sister Molly, but left to go to college when he was about 18. However, his father is never seen or mentioned in the films and supplementary materials indicate that his parents may have divorced, or Andy's father may have either died or simply left the family.
In Toy Story, Andy receives a Buzz Lightyear action figure for his 6th birthday party (which was moved earlier due to the impending move). Tension erupts between Buzz and Woody, who has always prided himself on being Andy's favorite. Andy initially spends much more time with his new toy, but still has a special place in his heart for Woody. Thus, he becomes concerned when both toys go missing for a time, fearing they would be lost during his family's move to a new house.
In Toy Story 2, Andy is about 11, but is only seen in the beginning and for a short while in the ending. During his appearances, it is clear that he still loves his toys very much. At the end of the film, Andy is pleased to have five new toys – Jessie, Bullseye, and the three Squeeze Toy Aliens – added into his collection. He marks them, as he has all his toys, with his name on the soles of their feet, or in Bullseye's case, one letter of his name on each hoof.
In Toy Story 3, Andy is now preparing to go off to college, intending to put most of his toys in the attic except for Woody, whom he initially plans to take with him. While he apparently hasn't played with his toys for some years and has given many of them away, he is still resistant to his mother's suggestion to either donate or sell his remaining toys, referring to them as "junk" (which the toys believe is what he truly thinks). When they go missing, however, he becomes upset and confused when he can't find them. Before he goes to college, Woody secretly puts the address of Bonnie (the young daughter of a family friend) on the box with the toys in it, causing Andy to come around to the idea of donating them. He passes them on to young Bonnie, who he realizes will look after his childhood playthings and gives them each their own introduction, stating the qualities that make each of them special. When Bonnie finds Woody in the box as well, Andy shows great reluctance to pass on his favourite toy, but ultimately relents, allowing the toys to stay together in an environment where they'll be loved and played with. He spends a while playing with Bonnie and the toys one last time before departing for college, and is noticeably sad when Bonnie has Woody "wave" to him. He then responds with a quiet "Thanks, guys". This is presumed to be Andy's final appearance in the Toy Story franchise.