Mildred (Sarah Paulson) is about to meet the private detective Charles Wainwright in her room again. On her dressing table we see an old acquaintance and a new bottle.
The tall ribbed bottle – previously seen in the pilot – is Moment Suprême eau de cologne by Jean Patou.
The other bottle is the Lanvin boule, a special one: it’s made of colourless glass (and not of the more ordinary black glass) and its gold stopper has got a raspberry shape (and not the more ordinary ribbed ball shape) . This bottle was used to house Mon péché (My Sin), originally launched in 1924, and Arpège, launched in 1927. I like to think My Sin is sitting on Mildred’s vanity: she’s a character full of contrasts, who is definitely hiding many secrets and sins.
 Later, the ribbed stoppers would replace the raspberry ones. The change didn’t happen before the 1960s, as shown by this 1964 advert for My Sin
Thanks to lepetitcivet for the Lanvin id.