Heat 1 cup of distilled white vinegar in a saucepan over low heat until it's warm to the touch but not hot. Moisten a clean sponge with the warm vinegar. It should be more than damp but not dripping wet.
Press the vinegar-moistened sponge gently against the wood glue on the drywall. Don't rub the area. Hold the sponge on the spot for five minutes.
Scrape the softened wood glue with a plastic putty knife. If the glue hasn't softened after five minutes, re-moisten the sponge with vinegar, hold it on the spot for an additional five minutes and try again. Repeat, as necessary, until the glue dissolves enough to scrape it off.
Spray the area with a solution of one part vinegar to one part water and wipe away any remaining glue residue with the sponge.