Steve will surely say, "I'm not in the least surprised!" but I do have a small box of #7 screws somewhere, 3/4" csk., if I recall. They were bought for some small butt hinges many years ago, but I only had two hinges to fit, rather than 25.
My interest in measuring screws this time was because of the hinges on our front door: they are 5" rising-butts (the door is big!) and because we've changed the floor height in the hall, they now need some careful adjustment.
After faffing about in an attempt to avoid damaging the screw heads, it dawned on me that I might find some replacements at our local traditional ironmongers, and so could replace the hinge in question using completely fresh screws.
They turn out to be #12s, which I'd guessed but not confirmed. The ironmongers not only have them, but in several lengths also, so I intend to get some that are 1/4" longer, thus ensuring a good grip (I will cautiously pilot-drill the extra length).
And If anyone knows where 5" rising-butt hinges are to be had, I'm all ears. The present ones are probably 100+ years old and have been carefully rebuilt by me once already in the 1990s, but there's little scope for doing it again. It is quite impossible to fit anything else*.
At the time, there were no architectural ironmongers on-line, and I couldn't find anybody who stocked anything similar. I doubt I'll have better luck now, so the 'mended' hinges will have to serve, albeit with their new, longer #12 csk. screws (steel this time also, not brass).
E.
*(well maybe 6" rising-butts but that's getting absurd, and they certainly wouldn't be easy to fit).