Thanks all.
I had a feeling that tapping stainless with such a small/fine tap might be tricky, and this thread has reinforced that feeling. I took 12345678910's advice and re-evaluated the task in question. I'm attaching a small leaf spring to the outside surface of the liner of a folder. I've decided to take a safer route and instead of tapping the holes I will run some flat-head screws through from the inside surface of the liner and secure them with nuts. The spring and nuts will be completely hidden under a hollowed-out space in the handle scale so I think it will all work out fine (and I won't have to buy a tap).
Thanks again. And a special thanks to PT Doc for the link to that chart, I've saved it on my computer for future use.