Ask someone who may know. If a wood carving in a store catches your eye, ask the owner where he acquired the piece. Chances are he either acquired it directly from the artist or online through the artist's website. The store owner should be able to provide you with valuable information about who created the art and how you may contact that artist.
Check for a signature. The artist may have signed her piece. Once you find her name you can further research the artist online. Just about all artists have their own website.
Attend gallery openings. Check local gallery openings in your area specializing in woodcarvings. At an opening the artist will be present to display his work.
Research online. This is especially helpful if you know the name of the piece for which you hope to identify the artist.