Who owns the image rights for Baby Pooh?
The Walt Disney company owns the image rights (and other rights such as movie rights) for Baby Pooh, along with image rights for many other Disney Characters.
Disney owns the rights to the 1964 movie, but the not the name and image of Mary Poppins. The family and heirs of Pamela Lyndon Travers, author of the Mary Poppins book series own the image and rights. PL Travers disliked the final Disney Production. She could not stand Dick Van Dyke or Julie Andrews in their roles, and did not like use of animation sequences in the movie.
The Walt Disney Company. Winnie the Pooh was created by author Alan Milne, but he sold most of the rights to Stephen Slesinger, a producer. After Slesinger's death his wife, Shirley Slesinger, inherited the copyright. She sold the Slesinger rights to the Disney Company in 1961. Daphne Milne, Alan Milne's wife, who inherited additional rights to Winnie after Alan's death, followed suit, licensing her rights to Disney later that same year.