This page from the 1951 character merchandise catalog promotes some of the more unusual items to come out of the original release: a set of six vinyl dolls made by Gund. Advertised as 'vinylite', these dolls look more like figural pillows than dolls per se.
These dolls were also featured in advertisements in Playthings Magazine,
and had prominent placement in the National Screen Service campaign book.
In real life these dolls are very colorful, easy to clean, but have a tendency towards seam splits.
Characters made are Alice, White Rabbit, Tweedle, Mad Hatter, March Hare, and Queen of Hearts. The character merchandise catalog shows a seventh doll, a variant of Alice, but this was never produced to my knowledge, and the campaign book only lists the six pictured above.