Morph Target Shadow Bug

^^^^This (2nd image ONLY) I’ve actually JUST figured out before the thread has even started. That’s probably just a bug caused by my camera clipping through the morph target mesh and seeing the floor that isn’t being drawn due to culling.

Anyway, my actual bug is the lighting. The shadow. I’m using Blender 2.77a and have tried fixing it with the aid of Google. Does anyone know how to solve this?

Blender images:

UE4 Images:

Edit: I just did this in a clean Third Person Template project in 4.11.1 and nothing different happened. Same thing occurs for me.

New mesh. Simple rotation (90) and face being moved up. No extrusions or anything.
Changed the material to be double sided which fixed the shadows but didn’t fix the mesh. Just a simple material with no metallic or anything. Just a base color.