I think you're right, I searched a little and I'm coming up with polyfuse/resettable fuse/PTC components with that same F marking on them. It does not appear, however, that the 2.5 definitely correlates to the amp rating of the component. There is more than one key amperage that can apply, holding current vs. peak current etc. I have seen components where neither of these values contribute to the nomenclature (unless of course the picture is of some other value component than the one advertised.)
Anyone have any clue whether this is the case? I'm hoping it is that simple, otherwise I may be in for some very expesive trial and error.....