June, they definitely look like shrub honeysuckle. And birds do love honeysuckle berries vining or shrub. I have a shrub honeysuckle called Arnolds Red Honeysuckle. With red berries. So that is what it might be. But defiantly one of the shrub honeysuckles. Arnolds Red has red flowers in the spring, sometimes with repeat bloom so that is how you can tell.
