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This Sasha baby has both. His woobie is actually a little quilted pot holder I found at a craft fair. When I photograph dolls I like to add one or two props that help to tell a little story in the imagination of the viewer. Children have been photographed with dolls and Teddy bears since Victorian times. Most little ones have a favorite toy or "woobie" and they are usually more comfortable with them close by.
The Urban dictionary defines "woobie" as "Something very precious and snuggly, like a bunny wunny or baby bankie."