A Customer Slipped In The Small Restaurant I Managed And Broke Her Foot, Emailing Asking For Money For Pain And Suffering.

I co-manage at a small restaurant in South Africa and had an ~65 year old customer come in the other day, slip on the floor as one of our cleaning staff was mopping (no warning signage was present). She got up quickly and left, saying she was okay.

Later in the week we get an email from her saying that she consulted with a doctor (who happens to be her son) and was sent for x-rays, which confirmed a foot fracture as well as some longstanding osteoporotic bone lesions. She attached the results and demanded compensation for the radiologist, moonboot and an additional large amount for 'pain and suffering' that she attributes to now being unable to go on her cycling trip that she had been planning.

Understanding our fault at not appropriately signing the hazard in the restaurant, we responded by offering to pay for her medical expenses and a small contribution to 'pain and suffering' but believed we're not liable for the inflated and seemingly obscure amount she was asking for??

She called back to ask when our restaurant is the most busy as she's planning to come into the restaurant at that time and broadcast her plight to our customers.

We are a small business with no legal advisor so I would really appreciate advice. Should I just pay her? Her approach is really not in good faith so I'm a bit p*ssed off but was hoping for some objective help. Are we liable for this 'pain and suffering'?

Note: we don't have camera footage from the incident as she approached us after the footage was deleted from storage (we don't keep footage forever)