If the DCC server functionality within mIRC had functioned like I thought it would, I also would have looked more towards this being an UnrealICRD configuration problem. But, due to the fact that the DCC server functionality within mIRC didn't work either (prior to installing UnrealICRD), I had to consider the fact that I am also doing something wrong within mIRC.
If I had any former experience with IRC in general (both server and client), I would have something to build on. Oh well, I gotta start somewhere.

Thanks.