I've had this happen, myself and an employee who I had signed the termination paperwork for shared the same first name and someone put my name in instead of his. It was hell for at least a month as different automated systems kicked in and disabled my accounts, benefits, and payments. Worse, the first notification email happened while I was presenting to the CEO and the HR contact in the meeting had noticed half way…
This is (in my opinion) one of the reasons why everyone talking about getting rid of dedicated IT ops in their organizations is making a mistake. You can have devs building integrations and automation all day, but you still need sysadmins who can see the whole picture and override them when necessary. Having an outsourced (or even internal) hell desk that goes off a script doesn't take care of situations like this either.