This book of poems for children was written by T.S, Eliot, and first published in 1938 by Faber and Faber

It is still in copyright, so the poems themselves cannot be reproduced here.

Since the book was not published until 1938 (1939 in the US), well after the 1923 cut-off date for US copyright freedom, the poems may not be reproduced anywhere, except with permission of the copyright holder. As an aside, Eliot's most famous piece, The Waste Land was first published in 1922, so makes it into E2's semi-official public domain category
They are on the web as I write: try these sites

In any case, here is a list of contents taken from The Illustrated Old Possum first published in 1974, ISBN 0-571-04578-2 (Faber paperback edition)

The Naming of Cats, The Old Gumbie Cat, Growltiger's Last Stand, The Rum Tum Tugger, The Song of the Jellicles, Mungojerrie and Rumpleteazer, Old Deuteronomy, The Peke and the Pollicles, Mr. Mistoffelees, Macavity: the Mystery Cat, Gus: the Theatre Cat, Bustopher Jones: the Cat about Town, Skimbleshanks: the Railway Cat, The Ad-dressing of Cats, Cat Morgan Introduces Himself,

The book has become celebrated through the Andrew Lloyd Webber musical, Cats, which takes the same characters and they sing the poems with only minor variations to the words.

The royalty fees from this musical make a significant contribution to the income of the book's publisher .