I am just finishing going through a 1946-1947 B & S #2L surface grinder, seems to be about the same as the straight #2. I have what appears to be the original 1946 manual for it that shows operation and maintenance as well as parts, and some accessories. It is later than the one on Vintage Machinery, which is a 1956 reprint of a 1936 parts manual. I have it saved on my computer as well as printed out. If nothing else I could scan the few pertinent operation pages and email them to you. There were quite a few changes in the 4 decades B & S made those grinders, and different drives, spindles, and other parts. There have also been a lot of modifications made to many of these grinders over the decades. I have some links to threads on other machining sites where there are useful discussions about these grinders on various topics. Warning, there is a lot of misinformation out there, be careful what you believe and who you trust.
The gentleman I got mine from has had several of these grinders, knows what he is doing, and is being quite helpful.
If you need some help beyond the operation manual, I have done considerable study on these grinders and am starting to get a pretty good idea of what all those whirling gears, ratchets, pawls, dog clutches, and other mysterious pieces actually do, and what to do when they are not working correctly. Mine is now running, presently getting the plain bearing spindle I rebuilt broken in, and I am working on learning how to make the power feeds work smoothly, accurately, and reliably. Let me know how I can help you, warning, I am a novice with this grinder.
The serial number of my machine is 17047. What is yours? Feel free to PM me if you want to.