I worked in a veterinary practice where we often rehomed animals.
A lady came in to look at a stray cat, and we struck up a conversation. I wasn't wearing my name tag, and she got my name wrong after I had introduced myself.
I didn't bother correcting her as I thought there was no point and I wouldn't end up seeing her again.
Turns out she wanted to name the cat after me as I had been so kind to her. I had to confess then to answering to the wrong name and it was all a bit awkward.
Another one.....
At the same practice, I had an old primary school teacher come in, who mistook me for my older sister, who she had also taught. I was about to correct her but the vet interrupted her and I didn't get a chance after that.
The next time she came in she started asking me how my younger sister was getting on (who is actually me of course!). I didn't know what to do and panicked so I sort of swapped me and my sisters lives around and pretended to be my sister, whilst telling her about my older sister as if she was actually my younger sister!
It was all very strange and convoluted and I started hiding out the back whenever she came in as I was so embarrassed and desperate not to make things worse!
Oh the tangled webs we weave.......