a purse in the states too, but it is one that is not designed to be carried on your shoulder

purse, pocketbook

a small bag usually made of cloth, leather or a similar imitation material, and often having a strap to permit carrying it by slinging it over a shoulder, used by women to carry money and small personal items or accessories; as, she had to search under the cosmetics, hankies, and medicines in her handbag to find a comb.

a bag used for carrying money and small personal items or accessories (especially by women); "she reached into her bag and found a comb"

a bag that match with fashion

a personal thing and usually it is bought by the ladies for themselves

a very personal object, an extension of the person who wears it, and therefore it is important that just because of its quality and resistance the consumer may establish a relationship with it that lasts over time"

an item that is essential to many women

an institution