Shalom from the Catskill region of NY State. No disrespect to you or your drill press, but what you have is- as was already posted here- a low end drill press that was an inexpensive model. As such, it may have been manufactured without the maker's name permanently a part of it. Some well known manufacturers had made their name as raised lettering on the head casting, and others riveted a metal nameplate to the head casting of the drill. Other manufacturers applied their name in the form of a "decal" or printed label which was laid on the finish-painted surface of the head casting. A cheaper "low end" drill such as yours may well have been built by one manufacturer with no name permanently on it. This was done so the drill could be "badged" with the seller's name. Tool merchants, large stores (such as Sears, Roebuck in the USA) and mail order firms often did this, putting their own name on tools or machinery made by someone else.
My own advice on this is to clean the drill up, get rid of the paint on the machined surfaces such as the column, and put it to work. Establishing who made the drill and where will serve no useful purpose at this point in time. Any maker who made a drill such as this one is likely long out of business. With the influx of cheap drill presses from Asia, most- if not all- of the makers of low end drill presses of this sort in the USA, England, and probably Europe are out of business.
The history of the drill press is another matter. I know a bit about the history of Israel, and do know that to prepare for the 1948 War of Independence, machine tools of many types were imported into Israel. Used machine tools were bought in NY City, and probably elsewhere in the USA and shipped to Israel. I also know that Israel, having been under British rule prior to 1948, had a lot of British made equipment left from that time period. How the drill press came to Israel is anyone's guess at this time. It could have been made anywhere, and been fitted with the British made electric motor.
Checking the screw threads on the fasteners and threaded parts of the drill press will give a clue as to place of origin. If metric threads, given the era of the drill press, could be a European machine. If British threads, (Whitworth, 55 degree included angle of the threads, and pitches in threads/inch for given diameters that will not match either the US standard threads or the metric pitches) then the machine came from England. Obviously, if the threads line up with US diameters/pitches/thread form (60 degree), then a US machine. My guess is the machine is English, and the maker's name was on it in the form of a "decal". As a result, with coats of paint applied over it, the name has been lost. I doubt that careful stripping of the paint will turn up a maker's name, but it's worth a try. Using chemical paint removers will likely take all the paint and the decal or label with it. Possibly, sanding with fine wet/dry auto body sandpaper going very lightly, you might work through a few layers of paint and find the original paint and some remains of the decal or label.
My own belief with machine tools is to clean them up, make any needed repairs and adjustments, and get them into use. As I like to say, "I am not running a museum", and my machine tools, while well kept, have worn/missing paint and are ready for use when I need to do jobs on them. As I wrote, knowing something of the history of Israel, and having visited the ammunition factory on the preserved Kibbutz, I saw "old friends" in the underground factory. Familiar US made machine tools that were old and used by 1948 were in the factory for making/repairing production tooling. With a history such as Israel has had, I can understand your wanting to learn as much as you can about your drill press. Maybe it was used to prepare for the War of 1948, or maybe it sat is some Kibbutz's shop doing nothing more than maintenance and repair work on farm equipment. I think the history of the drill as to how it came to Israel and what is was first used for would be of more interest to me than who actually made the drill, but that's just me. Good luck with your project !
