There's nothing I can think of in a Stuccoed wall constrution that would make brown ooze so it must be mold or insect infestation. I think I would be opening up the inside wall covering in that area to see what's causing it.
One bug that comes to mind is the lady bug. In the fall they swarm and try to find a warm place to live for the winter. I've seen them many times behind vinyl siding and knew they were there because of the brown stuff running out the weep holes.
Boring bees also leave behind a brown stucky liquid.
Last edited by joecaption; 04-24-2011 at 07:12 AM.