Here's one of the Bayonet Cap adapters in question, seen here tethered to a normal 2-pin 5A plug so that it wouldn't get lost when unplugged to use the appliance in a "normal" socket:
There were also BC plugs which could be fitted directly to the appliance cord, to avoid the need for an adapter. These were still available until quite recently.
And then because of some items being fitted with such BC plugs, there were adapters for the reverse conversion, allowing a BC plug (or a lamp, of course) to be connected to a regular 2-pin 5A socket, like this:
The adapter pictured above has swiveling pins, allowing it to fit either a 2-pin 5A socket or a 3-pin 5A type, in which the spacing is slightly different.
A multitude of other adapter combinations existed. You could get a double BC adapter, typically with a one BC outlet straight into which the lamp was fitted and another angled to the side into which the iron or other appliance could be connected when required. Sometimes they were both angled outward at about 45 degrees.
Some types had an integral push switch or pull cord to allow one of the outlets to be turned off individually. Some provided the straight through BC outlet for a lamp, but had a 2-pin 5A socket on the side. And so on.