Something along those lines happened to me once.
I had just moved into a new place (4 girls on Cragislist looking to fill a room). I think I moved over the Thursday and Friday, and decided to brew on the Friday night, which they were cool with. I didn't start brewing until around 8:30 because I didn't want to tie up the whole stove and kitchen while everyone tried to make dinner. I think it was around 1:00 when I was nearing the end of my boil. I too had been drinking, and while I wasn't anywhere near blackout drunk, I had had a few (that's the rule: you have to drink beer while you make beer). I should also mention that in the preceding days I had been up pretty late packing and getting ready to move out of the old place, so I was pretty tired. So... I'm half-cut, dead tired, it's 1:00 in the morning and I have two 5 gallon pots boiling away on the stove. I'm getting ready to put the Irish moss and wort-chiller in and I decided to sit down on the couch for 5 minutes. Since I'm smart, I set the alarm on my phone to alert me, just in case I forget (or heaven forbid, nod off for a sec).
Well, fast forward to me waking up on said couch at 7:00 the next morning. Thankfully, a couple of my roommates had come down sometime in the next half-hour or hour and turned the stove off. They tried waking me up, but when I'm tired and/or have been drinking, nothing short of an explosion will wake me up (and if it does, I'll probably punch it in the face and go back to sleep). So fortunately the pots weren't boiling all night (and I didn't end up with the same problem as the OP). I was a little worried about infection, but didn't want to toss a whole batch so I brought the pots back to a boil, and probably boiled them for around 30 - 45 minutes, then chilled and pitched as usual.
The beer didn't end up too bad either. It was an Irish Red Ale, and while it did taste a bit off, that could have been from fermentation temps or any other factor as much as my "unconventional" brewing method. And thankfully, the new roommates weren't even really pissed off (at least not outwardly). I think it was just a bit startling and probably a little weird for them. And I'm sure any repeats would not have been treated nearly as well.