Because he really liked her. He liked young girls, but especially her (you could say he was a pedophile, but that does not mean that he ever did something to her. just in the true meaning of the word: pais = kid and filia = friendship/love.)
Second, she asked him to write the story down.
Lewis Carroll chose Alice Liddell as the inspiration for "Alice in Wonderland" because he was a close friend of her family and enjoyed her curious nature and vivid imagination. He often entertained the Liddell children with his imaginative stories during boat trips on the river, where the original idea for the story was born.
Lewis Carroll had no wife as he never married. He was forbidden from marrying by the terms of his employment.
Liddell
Lewis Carroll, whose real name was Charles Lutwidge Dodgson, wrote Alice in Wonderland for Alice Liddell.
Lewis Carroll first told the story of Alice to Alice Liddell and her sisters Lorina and Edith on a boating trip they went on with Carroll's friend Robinson Duckworth.
Lewis Carroll wrote Alice in Wonderland for his friend, a little girl named Alice Liddell.
No, Lewis Carroll did not pay Alice Liddell for the story "Alice's Adventures in Wonderland." Carroll wrote the story for Alice as a gift, and it was later published, with Alice's permission, for the enjoyment of children everywhere.
There is speculation about Lewis Carroll's relationship with Alice Liddell, the inspiration for his character Alice in "Alice's Adventures in Wonderland." Some believe that Carroll may have had romantic feelings for Alice, while others argue that their relationship was purely platonic. Regardless, there is no concrete evidence to confirm whether Carroll was in love with Alice.
Lewis Carroll's best friend is John Liddell.
Lorina Charlotte Liddell was the older sister of Alice Liddell, who inspired Lewis Carroll's "Alice's Adventures in Wonderland." Lorina and her sisters were close friends of Carroll, and Lorina was often present during the boat trip on which the story of Alice's Adventures in Wonderland was first told.
Alice's Adventures in Wonderland were not inspired by Lewis Carroll, but rather, written by him. He wrote the book for Alice Liddell, and also based it off of the new math that was gaining popularity during his time.
Emilie Autumn is not related to the 'Liddell' family. However, Lewis Carroll's character Alice from "Alice's Adventures in Wonderland" was inspired by Alice Liddell, the daughter of Henry Liddell, who was the Vice-Chancellor at Oxford University.
Lewis Carroll's Alice stories were made up for a little girl, who Carroll knew, called Alice Liddell. Occasionally, a copy may include a photograph of Liddell, but usually the pictures you see of Alice, in various editions of the book, are not of Alice Liddell, but come from the illustrators' imaginations.