We own a small cottage on Cayuga Lake in upstate New York that was built in 1930s. The cottage is in very good shape except for the siding on the south side. It was built with 2x4 studs with dutch lap siding attached directly to the stubs. The dutch lap on the south side has shrunk over the years leaving small gaps along a lot of the boards, which has aloud snow to be blow in between the walls. I am looking at residing the south side of the cottage with new dutch lap. My question is should I remove the old siding, add sheeting and residing over that or can I just reside over the old dutch lap siding?