Will_Success_Spoil_Rock_Hunter-_bornunicornThere are several bottles by the bath-tub in Rita Marlowe’s bathroom. Among them, five Lanvin products.
lanvinarpege_tallbottle_bornunicornThe tall rectangular bottles with squared stopper are colognes. They could be either Arpege or My Sin (I’ve already explained why).

lanvinarpegetalc_bornunicorn

tumblr_n4ntvcdiob1sm54eyo2_1280The same uncertainty can be applied to the two black boules and the black bottle with golden stopper, which contained perfumed body powder.

dana_20caratscologne_bornunicornThe bottle between the two Lanvin boules is the eau de cologne of Dana 20 Carats, launched in 1933.

fabergc3a9tigress_bornunicorn.jpgThe tall bottle with fake tiger fur stopper is Fabergé Tigress, a warm spicy fragrance launched in 1938. The ad above dates back to 1975 and features the American showgirl, actress and singer Lola Falana as testimonial.

Thanks to Jeremy in the comments for the Dana id.

Screencap and id source.