When asked if they could have some mayo on the top bun, I am not sure that this is what they meant. Maybe flip the bun over, then put it on the top, then flip it back over again? I guess that would have been more clear.
Did they not get their name and then they named them by their appearance? Or perhaps they just thought their name was an ugly name? Or maybe they actually thought that their name was "Ugly." Either way, now this poor person has to carry this drink around with them. How embarrassing.