Buy some cheap sherriff stars, probably at the dollar store, and have the kids toss them into a cowboy hat.
Get a ring toss game and wrap rope around the rings so they can pretend they are lassos (sp??)
Get a poster of Woodie and buy some star stickers, or cut stars out of construction paper and use double sided tape, and pin the star badge on Woodie.
I'm not sure how many kids you are going to have, but maybe take a very basic coloring page picture of Woodie. Cut out the shapes and then cut the shapes out of colored or construction paper. Have a couple glue sticks out, and have the kids try and put Woodie together. It would be a pain if you had a lot of kids though.
With two year olds its better not to have games that win, but if you want to give out prizes its better to go with something you can give to every kid playing the game. You don't want to start a temper tandtrum cause one kid didn't get a prize or win anything.