> i am an electrician and am confortablle with my skills and attention to detail
You are an electrical mechanic. This is a VERY good skill. I see too many others who can't wire-up a paper-bag without shorts.
But you need to think about Electricity.
How does it transform 120V to 12V? There are 10 primary turns for every 1 secondary turn.
But how many turns? Certainly more than 1 or 10.
Those "core type" calculators figure it out for a New Design.
Here you have an Existing Working Design. You assume the maker did it right. (You probably snagged it out of machinery that worked for years and still worked fine.)
You could un-wind it and count turns.
But since you know the specs, and have an electronic AC meter, you can usually determine the turns in a minute. Wrap one turn of fine wire around the existing winding. Energize the 120V winding with 120V. Measure the voltage on the 1 turn. (If your meter bottoms-out, use 10 turns.)
Small doorbell transformers run about 0.05V per turn. Huge cores may run over 1V/turn. I'll guess a 180VA is in the range of 0.2V/turn. So you read 0.2VAC on 1 turn (2V on 10 turns).
So already you can figure the 120V winding must be 600 turns (120/0.2= 600).
And the 12V winding must be 60 turns.
No, wait: there's resistance. The transformer will sag at full load. The rating is for full load. So we typically wind about 10% extra turns. The 13.2V no-load sags to 12.0V at full load. More or less.
Now you want a say 48V winding. At 0.2V per turn this is 240 turns. Round-up for sag, 260+ turns.
The winding-space is fully-packed (5%-20% spare space because slack is much better than too tight to go together). How can you put 264 turns in the space of 66 turns? Obviously each wire must be 1/4 the area. 1/4 area is 1/2 the diameter. You want a wire-table here. You will have to buy new wire.
Put together, instead of 12V 15A you now have 48V 3.75A.
In theory you can re-use the 120V winding. Indeed if it is wound secondary over primary (or separate bobbins) this is what you do. Worst case you have to strip the primary, and you usually can't salvage 500 feet of thin pre-stressed fine wire whipped all over your lab.
The killer fact is that buying magnet wire a 1.4 pound of this and a 1.3 pound of that ends up costing more than a whole pre-wound transformer. More than half the cost is the copper. The tranny factory gets a much better deal per ton than you get for small buys. Including shipping, the balance is unclear.
Do it for fun. Don't expect great savings, especially if your time could otherwise be billed like I was billed for my fusebox. (No complaint, I understood why they charged what they charged, but it makes transformer hacks small potatoes.)