Your question is very confusing. You seem to have a hard disk, yet you talk about wanting to boot from a floppy. Is the HD not bootable? That is, is it damaged somehow, and your objective is to salvage the data on it? If the HD is damaged, then simply booting from a floppy may not solve your problem. You have to repair the HD to the point where you can get at the data in question.
If it's a simple problem, then running a utility like Norton or even Disk First Aid might solve your problem. If it's more serious, then there may not be recoverable data, in which case, booting from a floppy will do nothing for you.
If you *can* boot from the HD, and all you want is just to make a copy of a floppy, that's straightforward: copy its contents onto the HD, remove the source floppy, insert a target floppy, and copy to it.
If you have no HD (which you initially seemed to be implying, because you mentioned wanting to boot from a floppy), then the floppy itself must be bootable. Plus, you will need a copy of Disk Copy on it. That doesn't leave a whole lot of space for files, but whatever you can squeeze on it can be backed up easily. Boot from the floppy, run Disk Copy, and follow the onscreen directions. Depending on how much RAM you have, a certain amount of disk swapping could be involved, but with a Classic II, it shouldn't be too onerous.
Maybe this isn't the answer to your question, so if indeed that's true, then please post back with more info. In particular, please tell us:
1) What you really want to do. Are you determined to back up floppies onto other floppies, or hard disk files onto floppies, and only floppies? Or do you simply want to back up the hard disk's contents onto anything that makes sense? How many files? Megabytes' worth? Gigabytes? The "backup onto floppies" method is not practical for large volumes of data, of course.
2) What you have to work with. Is the HD in good shape? Is it bootable? Do you have other disks? Zips? Other externals? CD burner?
3) Do you have the Mac on a network? If so, then you have additional options.
Copying Mac files with a PC is a bit tricky because Mac files can have two pieces (called forks), and PC files do not. Just plugging your Mac drive into your PC's RAID could cause problems if you don't know what you're doing, so I recommend against that.