Well that's a bummer. Sometimes you can clean up some of the glue but you never can uncut leather.
I'll save all of you some trouble and tell you my tale. I decided to stitch this project inside out which worked fine but the leather was, as I said too thin to hold it's shape. I took it apart and added a goatskin liner. Well of course the pricking marks were covered up by the goatskin except on the finished side but because I originally stitched it inside out the marks were backwards. Anyway after trying several different configurations - what was best was to turn the folds out, glue goatskin to goatskin and stitch it normal. I'm not sure what you call the gusset style of the original pattern - the way they fold in but I did it opposite. It's almost ready to photograph, which is something else I need to work on.