The vanity can be found in the 1927-1929 Cambridge Catalogue and Whitmyer's "Bedroom and Bathroom Glassware". The set consisted of a large 5 x 8 two compartment tray with two different size lids. The small lid is missing from the pink example.
According to the Whitmyer book, the same vanity can be found with a perfume that replaces the smaller lid and fits into the smaller cavity. When the perfume is part of the set, the vanity is identified as #665.
The green pieces has both lids. Photo for this piece was provided by Michael and Darlene.