Are you looking for pieced patterns, paper-pieced patterns, hand or machine applique, or fusible applique? Do you want realism? Or something more childlike for the 4yo?
Critter Works has a huge selection of animal and woodland fusible applique patterns:
http://www.critterpat.com/category.php?category_id=51
Hmmmm.... I didn't see woodland patterns on that website, but I know they have done them in the past; have seen them in catalogs such as Keepsake Quilting, Connecting Threads, etc. in the past.
http://www.quilterswarehouse.com has some patterns under animals and wildlife.