Hi Steve,
Nice images of the tank transfer - clearly something special for "Rambler" whatever that might be.
Can you give us your best guess at the engine and frame numbers?
33d6 gave us: "If it has the original engine the number will start with the prefix 364/, the frame prefix is B/" (if the bike is a rebadged Norman), but if I look at your first image seems to show no prefix on the frame number? This sort of thing is the key to differentiating "kit" bikes from "rebadged" bikes. For example A. G. Healing built many bikes from the teens into the 1920s. The complete Healing-built bikes have Healing frame numbers all over them (despite many different names on the tank), but there are other bikes that seem to use the same lugs, but have no frame numbers at all. Presumably the "no numbers" bikes are built from kits of Healing lugs.
Norman rebadged? Or kits of Norman parts built up locally (?) and badged Rambler? The answer might be in the numbers, or even the location of the numbers. Were Norman frame numbers stamped on the left side of the steering head lug?
Cheers
Leon
The attached image is taken from your original posting, just rotated and fiddled a bit.