With no name I would suspect a badge-engineering machine here, adopting ideas from leading manufacturers, but it looks a very comprehensive and useful lathe for its size.

The cantilever bed was common practice for small lathes, made early-20C.

Drummond used that pattern of faceplate but put the leadscrew along the axis of the bed.

Myford and Drummond both used T-slotted cross-slides.

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(Written as perhaps not fully 'guru', but still a "small lathe guru" in both senses of the phrase!)

It is a RandA derivative. The design was badge engineered by half a dozen of the main players. The Lathes site give lot of detail.

There are several threads on the forum about this lathe.

Note the backgear has ever so slightly wider gears which are ever so lightly >20 DP. When the larger ones get broken people often substitute a Myford 60 tooth changewheel that doesn't quite mesh correctly but makes do.
Looks like you have quite a selection of changegears but if trawling ebay for missing ones don't be fooled by Drummond gears that also use a pin instead of a keyway but they are 14Dp and the pin is much bigger. One occasionally sees a mix indicating the seller got caught out at some time.

IF the gears are 20DP, 14.5 PA, gears from ML7s can be used (5/8" bore ) by drilling a hole ,for the driving pin (It means drilling through one of the existing gears to use as a jig ) The hole should not go all the way through, to stop the pin falling out. Obviously, keep the hole away from the keyway.

The Myford ML 1, 2,3 and 4 used a 3/32" pin to transfer the drive from a driving collar or from gear to gear..

Howard