Identifying unknown transformer from a computer PSU
Based on your description, chances are that it is a filter inductor to keep the high frequency switching noise from backing up into the power mains. Of course each winding has at least TWO ends, so there is a fourth "wire" somewhere. Perhaps one of the pins that was soldered to the PC board?

Like virtually ALL switch-mode power-supplies (SMPS) the transformers and inductors are FULL CUSTOM parts designed and manufactured specifically for THAT model of power supply.  You will not find any information on the inductors because they were never sold on the general market. They were OEM custom parts.

ABSOLUTELY NOT RECOMMENDED to connect this to the power mains until you understand A LOT MORE about what it is and how it works.