There is a German/English book about the Bing Table Railway (see https://www.amazon.com//gp/off...&tag=bkfndr76-20) which I bought years ago for a normal price; I had a look in it for your set.
Your set, which is very nice, looks like set No 3 but with Americanized loco and coaches:
There were many variations in train sets in the Bing Table Railway range, however I do not think there was ever a transformer in a set; a transformer could be had separately; I bought a unboxed simple set once and this came with a transformer. You can see my set and transformer here:
I assume these were expensive toys which were only played with under adult supervision; when I see some Bing Table Railway items they are normally still in a good condition.
Regards
Fred