thanks for the responses.

I've been planning to just scrape it off and repair as you all
suggest. What's giving me pause is that it's a real wrist-breaker to
get it off. I'm using a putty knife to scrape it and wet it down with
a spray bottle to try and limit the amount of crap that flies all over
me when I do it. But it takes a long time to clear a small section.
Even though it's a tiny bathroom it will take many days to clear.
That got me started thinking maybe it was easier to re-drywall.

Any suggestions on how to better remove the adhesive? The glue is
dried to a dark brownish color.