There's an Alligator under My Bed by Mercer Mayer; 1987. Hardcover. (Ch-PIC)

The nightmare's gone, but what about that alligator? You have to be so careful getting in and out of bed! Maybe a midnight snack to lure him into the garage will do the trick. In this funny and beloved follow-up, Mercer Mayer faces another nighttime fear head-on.