In The Annotated Alice, Martin Gardner provides background information for the characters. The members of the boating party that first heard Carroll's tale show up in chapter 3 ("A Caucus-Race and a Long Tale"). Alice Liddell is there, while Carroll is caricatured as the Dodo (Lewis Carroll was a pen name for Charles Lutwidge Dodgson; because he stuttered when he spoke, he sometimes pronounced his last name as "Dodo-Dodgson"). The Duck refers to Robinson Duckworth, and the Lory and Eaglet to Alice Liddell's sisters Lorina and Edith.
Bill the Lizard may be a play on the name of British Prime Minister Benjamin Disraeli.One of Tenniel's illustrations in Through the Looking-Glass—the 1871 sequel to Alice—depicts the character referred to as the "Man in White Paper" (whom Alice meets on a train) as a caricature of Disraeli, wearing a paper hat. The illustrations of the Lion and the Unicorn (also in Looking-Glass) look like Tenniel's Punch illustrations of William Ewart Gladstone and Disraeli, although Gardner says there is "no proof" that they were intended to represent these politicians.
Gardner has suggested that the Hatter is a reference to Theophilus Carter, an Oxford furniture dealer, and that Tenniel apparently drew the Hatter to resemble Carter, on a suggestion of Carroll's. The Dormouse tells a story about three little sisters named Elsie, Lacie, and Tillie. These are the Liddell sisters: Elsie is L.C. (Lorina Charlotte); Tillie is Edith (her family nickname is Matilda); and Lacie is an anagram of Alice.
The Mock Turtle speaks of a drawling-master, "an old conger eel", who came once a week to teach "Drawling, Stretching, and Fainting in Coils". This is a reference to the art critic John Ruskin, who came once a week to the Liddell house to teach the children to draw, sketch, and paint in oils. The Mock Turtle sings "Turtle Soup", which is a parody of a song called "Star of the Evening, Beautiful Star", which the Liddells sang for Carroll.