Oh don't worry, we've all been there, and I bet that lady remembered her own manic anppy moments and was only too pleased to help.
my worst one was on a ferry, dc1 was only 8 weeks old, so I was very inexperienced with poonamis. Ferry was diserted, I was still a physical wreck too.
The ferry was rocking a lot in bad weather, he had a poonami and was soaked chin to feet, the changing room/loo was FREEZING and I stripped him off, and then discovered I had run out of wipes. I couldn't reach the loo roll, I couldn't pick him up without getting covered in poo, I could only do anything with one hand as I had to hold on to him due to movement of the boat and not one single person came in to the loos for about 10 minutes. I was standing there with a cold wet poo covered tiny baby who was of course crying, and I just didn't know what to do.
Eventually I think I wrapped him back in dirty clothes, picked him up, and got some loo roll, then cleaned him up.
Got back outside completely taumatised, and dh just went on reading the paper. He couldn't work out why I was in such a state. I only had one change of clothes as well, the rest were in the car, and he had another poonami before we docked.