The story is fishy, a pistol, even with a malfunction, does not have enough mass, to cycle unless it is held or braced by something. Especially when laying on a table, providing additional friction on the slide. 1 shot, maybe, multiple, I just can't see it.
Inferior guns going full auto, held in a hand, I have seen more than once, .380 accutek, I sold new, full auto, Jennings, full auto, new in the box.
There is no SEAR spring on a 1911, that can be misinstalled, except for the Gold Cup Colt, all others, the sear spring is part of the 3 or 4 leaf spring, behind the grip safety, now yes you could with good effort, get the leaf spring under the sear, it would take some amount of stupidity or alcohol to do it, but could be done. The trigger should be awful if it worked at all. The gold cup however is a different story. Friend of mine, reassembled his GC, He worked at the indoor range, went out onto the range, dropped his slide on a full mag, in one hand, and it went FA, shot in the wrist, elbow and bicep. FA happens fast when your not prepared.
The disconnector should have stopped it, so I expect this was the failure, if it happened at all.