Not sure what they had originally. Some oilers had a felt or wire gauze filter in the bottom of the glass section. At a pinch, a wad of felt down the hole before you screw the oiler in to the lathe would act as a filter.
I have used the cheap Chinese oilers bought online for several years. They don't form a clear, visible drip like a "proper" old time oiler. But with a bit of trial and error they can be adjusted so the level in the glass drops, say, an inch or so over the course of a day of using the machine, which I figure is plenty enough. (In fact more than enough judging by the mess all over the machine!) Trouble is, its hard to find new cheap oilers with the 1/8 BSP thread to match the tapped holes in the lathe. You either have to make ungainly adaptors, or try to butcher the 1/8 NP thread on the new oiler with a BSP die, or just screw the new oilers in the one or two turns they will go in and leave it at that.