Asking for Uv Mapping help or tips

[LostData751]

Is there a way to copy a UV Map from a mesh to another? I tried following some instructions out there and used Blender 2.49b, with respective tools, imported, loaded the .blend file on 2.79, and copied the UV Maps onto the other mesh, however, when this happens the triangle faces in the UV Map become individual triangles and increase the vertex count by a lot, also when loading the exported nif with Nifskope the nif is completely white and has no "shading", making it hard to see. The amount of vertices is the exact same between the meshes.

 

Now, using Nifskope I've exported a template of the UV Map I want to copy and made it a texture on the mesh so I can align each individual point, while a lengthy process, this is all I came up with. This is why I seek an alternative.