"small purse" is correct and usable in written English.
For example, "She was carrying a small purse with her."
I carry a small purse and my laptop.
I grabbed her small purse, once red but now black.
Nearby, a small purse in deep burgundy hand-tooled leather (165 euros) also feels pretty "Giovanna".
I opened my small purse to grasp my EpiPen, but it wasn't there.
The kibitzing begins as the group gathers, each player with a small purse for her winnings.
A small purse has always been provided for White House refurbishments.
Fashion can overtake function, as students strictly limit personal cargo to what a small purse will hold.
It holds a tiny diary and a small purse, the size and shape of a pig's ear.
Inside her small purse there is Lancôme's Berry Tart lipstick, which she applies meticulously throughout the day.
Now you can reasonably carry this thing in a coat pocket, small purse or even a pants pocket, although the sharp edges will get you.
Coming out of the dressing room, she gravitated to the purses, which included a fairly flagrant Birkin knockoff and a small purse in creamy pig-pink ($1,250).
