I know ooooh too well that feeling. I've had to start over several games because of getting stuck. Hell I had to restart tomb raider series back in he day because somehow the game would save at the most horrible time. One time it saved has I accidentally jumped sideways off a train and when I loaded the save it would instantly go back to that.

Had that happen to me in Half-Life 2, I got shot and taken out right as it was saving.

I remember that part.  If you take your time, you can get pass it.  Just take it slow.  Knock out one enemy at a time.  I took out the goons first and then the girlfriend, unless the girlfriend is on your ass, then you have no choice but to take her out.  And remember, Valentine can help you.  And, try to loot enemy bodies after you kill them.  Some have stimpaks or some kind of health on them.  If all ease fails, lower the difficulty until you pass that point.  You can do it.

This is what I did. I hauled ass back down-stairs and drank water, several times, lol. I got out this morning, but last night at 12, I was like WTF, what am I going to do?

Congrats. 

U finally did it?  Congrats.  I think I remember my brother playing that part.

This morning, lol. I went through hell, but I got out of there.

I had this exact situation happen to me. I just hid in a corner and Valentine and my companion murdered everyone.

I was getting pissed, but I remembered there was a sink down the stairs and I kept going down to it to get health. I got passed it this morning.