I believe if you search the web, you'll find some cute patterns, including a frog. I will look a little for you. I did several from such a pattern for a quilt show donation and they all sold quickly. I didn't use buttons (worried about babies) but I made some of them out of soft green fleece.
ADD: Here's a FREE pattern:
http://www.lilblueboo.com/2009/09/ne...anbag-hes.html
Instead of buttons for eyes, you might consider sewing on small yo-yo or felt circles---I did the latter a white circle topped by a smaller black one. Just sew them securely. Also cute made of regular fabric instead of fleece.
oops--sorry,,,just re-read and realized you meant a chair! I apologize.