I wanted to replace a switched receptable in the bathroom with a GFCI
receptacle. The current one has one outlet, and one switch. The
switch controls the bathroom light. The outlet is always hot. The
incoming wires number two. Somehow, this combination plus the
grounding wire to the box enabled the outlet to stay hot, while
controlling the bathroom light separately.

I can't, for the life of me, figure out how to wire this up. Forget
the GFCI for now, that got me confused and I abandoned until until I
evolve. For right now, I have a receptable with the following:

one brass screw , one silver screw on one side;
two brass screws on the other side;
a grounding screw.

I have a black wire and a white wire coming in. I have a ground wire
attached to the box.

I have wired it currently to enable the bathroom light to go on or off;
the outlet is not hot.

Can anyone help me figure this out? I was doing trial-and-error but
blew a fuse during one trial that involved the ground going to the
switch (yeah, wildly dumb), so I figured I should just stop and step
back.

Unfortunately, now The Wife is going to miss blow drying her hair in
the bathroom. And that means I'm gonna start missing something real
soon.

-R