Yes it has had a badge, I have soldered up the holes. The holes are oriented vertically approx 45 mm apart. The holes were tiny - maybe only 1.5 mm dia. The bottom bracket housing has been identified as French. I was given a link and found this... The seat tube is 26.6 which seems to be also French. I haven't ever had a bottom bracket in it but it looks to be normal 68mm.
"....I used them (RGF bottom brackets) on most of the frames I built in England through the 1970s, and bought them from Ron Kitching who imported them along with the Prugnat lugs. These BB shells were 'Bulge Formed' which is an interesting process and I will explain for the benefit of those who have not heard of this."
"A steel tube with the diameter and wall thickness of a bottom bracket shell is fed into a special machine. A mold clamps around the tube that has internal sockets that form the down tube, seat tube, and chain stay sockets. The ends of the tube are sealed and hydraulic oil is pumped inside. The pressure causes the steel to blow into the sockets like a bubble."
"The mold opens, the tube slides sideways to clear the mold and a saw cuts it off. The machine repeats whole process automatically. In a separate process the sealed ends of the sockets are machined off making the finished sockets for the tubes. Finally the BB shell is faced and threaded."
"I used these BB shells because they were the best available at that time. By the late 1970s investment cast bottom brackets, which are far superior, became available. I’m sure the bulge forming process is still being used for lower end bikes." Dave Moulton, frame builder (retired)
Are there any badge holes in the steerer tube ? If there are their position and orientation can help to narrow down the make .
The way in which the frame number is done may help identify it . Falcons tended to be numbers and letters .
If you run your finger round on the inside of the seat tube you can see if it has a weld seam or not to help identify the type of tubing .