Sounds like he's not only talking about an isolation transformer but also a step-down one.
I assume said "Mini" monitor is a tiny sub 9" monitor that could have been powered by batteries like portable televisions?
In that case you need a step down transformer that will first isolate from the mains (any standard transfomer does that) but also decrease the voltage due to different amount of windings on the primary and secondary side of the transformer.
You'd need a 7.2:1 to 7.7:1 to convert 115-125 VAC to 16VAC
I would assume the transformer has numbers on the side of each post. If you could post a picture of it I'm sure I or someone else could tell you what is what.
Without a picture , here are some GENERALITIES. Take them with a grain of salt and test before plugging in to ensure correctness.
1) The 120VAC input side *MAY* have thicker wire leading to the terminals (either from the outside to the terminal if any was left on it, OR leading "into" the transformer) The 16VAC output would have thiner wire. (But that does assume an amperage drop--thickness of wire = amp carrying ability and NOT voltage)
2) The 120VAC input side will generally have 2 or at most 3 terminals. One would be labeled N (eutral) or 0V and the other 110V,115V,120V,125V or H (ot). Another one may be labeled G (round) in RARE cases, though this is normally the frame of it.
3) The 16VAC side will generally have more terminals, but if a straight converter, it will only have 2 out. There may be a third labeled "center" which takes out half (8 volts) or there may be many others furnishing who knows what output... e.g. it could be a 32 volt transformer with outs at 8, 16, 24 and 32, giving you 5 pins or something similar. These should be labeled approprriately.
4) On units I've seen , the input is generally on the BOTTOM (against the board it's mounted on) for AC in, and the output is on the top, but this is not always the case.
You can test the resistance of the windings to find out which ones are connected together and which arn't (just set your digital ohmmeter to OHM and with nothing plugged into it touch every combination of tabs.) Those with a higher resistance will mean the wire is longer or narrower and could help you determine what is what. Those with infinite resistance will not be connected together and usable as a pair for input or output. Be sure you set your ohms at low ohm readings and not Kiloohms as you might get "0 resistance" readings even though there is some because the meter isn't at a sensitive enough level.