The Gray Dogwood is considered moderate deer browse around here, especially in the Mtns.
Based on the height of the barberry in your pic, I would say its the "Common Barberry" species.
Japanese Barberry looks very similar but doesn't get that tall, that I know of. There is some "American Barberry" that grows in my area, but it has jagged leaves. Other than songbirds, not sure much else uses it.
Here's some info on Common Barberry.
http://www.threatsummary.forestthrea...m?threatID=238
Gray Dogwood.
http://plants.usda.gov/java/profile?symbol=CORA6