Bulgarian Makarov. Small, Extremely rugged and reliable, accurate, easy to shoot , easy to clean with the chrome lined barrel and only runs around $150.00. Shoots the 9x18 cartridge which is called the 9 millimeter makarov. It is slightly more powerful than the .380 and much cheaper to shoot. Best bang for the buck in the handgun world as far as I am concerned.
Another choice for a little more money is either the Keltec p32 or the Keltec p3AT. Have shot both and I actually prefer the .32 version, the .380 version seemed to buck around a little too much. My p32 has been extremely reliable and if there are any problems with the gun, Keltec has great customer service. Plus, they only weigh 7oz. The only problem is the lack of a manual safety, but it should'nt be that much of a problem as the gun should be kept in a holster anyway, even inside of a purse. Good luck!