wow..awfully cheeky in my opinion..I would have felt uneasy too..if something just doesn't feel right..it usually isnt.
I had a strange woman approach me once about a year ago when I was shopping in the little cotswold town of Burford near where we live. My hubby had gone inside a bakers to grab something to eat and I was waiting outside holding little Pixie in my arms. This woman spotted me and made a beeline for us..she had a larger yorkie bitch with her too, she was asking all sorts of questions like where did I get her from? how much did I pay for her? where did she sleep at night?..did my hubby buy her for me? she even asked where I lived..which set alarm bells ringing...she just bombarded me..which I find uncomfortable and embarassing
she also asked to hold her and I politely said no because she was a wriggler and wasn't too happy about strangers holding her..which is true. Even when this lady had walked away from me she was still staring at us!
I find its best to trust your instincts and not be too trusting of strangers.