I'm not a woman and I don't carry a purse. But since I find off the body carry options for men to be terrible (they either look like something my grandfather would've used in 1985, or are so overly tactical looking as to be silly) I generally buy what I like and adapt it. Usually that takes about 5 minutes, an inexpensive holster, and 3-4 safety pins or glue backed velcro. I got the idea from knowing women who do that with their purses, instead of buying purses that are made for concealed carry.
So, I'm going to suggest that the "product that allowed a woman to use any purse they already have as a carry option" is likely a cheap holster, velcro and safety pins. I've always used the cloth pocket holsters or nylon IWB holsters with a metal clip that you can get on Ebay for $7-10. Never had an issue.