Eyelids disappear in Texture Mode

After adding the eyelids to the body mesh, I thought it looked okay. But when I went into texture mode the right eyelids disappear. Can someone tell me what I did wrong?

In Edit Mode:

In Object mode:

In Texture mode:

Blender File: http://www.pasteall.org/blend/28284

Simple Ctrl-N keystroke will do…
Backwards facing normals.

Thanks. I thought had selected recalculate the normals from the left panel in 3d mode. Anyway, when I did the ctr n, it worked. Now I have another issue with the lids. I’ll post that in a different forum, because it’s about modeling, and not textures.