In Block List:
Click on the coat. It highlights the NiTriShape
Click on the plus sign and go to:
BSSaderPPLightingProperty > BSShaderTextureSet

In Block Details:
click plus sign next to Textures
click on the purple flower.

You are probably going to have to do this for the sleeves, pipboyon, and pipboyoff meshes.

Just realized FNV doesn't have the Tobar outfit. I thought it did.

My NifSkope might be different.
I'm looking at a help Wiki also on the subject and it mentioned a plus sign.
Mine doesn't look like the one in the wiki. No plus sign.

http://img84.imageshack.us/img84/7572/73760955.jpg

I get what you mean though.
I click on the body parts on the renderer and it takes me to NiTriShape.
I click on BSShaderTextureSet and then go to Block Details and click on the flower and set the coat.dds texture.

Nothing happens though, still white.

In nifSkope, under View > Block List, is Show Blocks In Tree checked?

I have everything viewed.
http://img529.imageshack.us/img529/1511/80187160.jpg
Here is a more detailed picture.
I click on the upper body part of the coat and go to BSShaderTextureSet in the Block List.
Then I click on the flower in the Block Details and select Coat.dds.
But nothing happens when I select it. Just stays white.

Nevermind, I just figured it out :3
I think.
I got the coat to take the texture.
Had to expand the textures thing in Block Details.
Let's see how it looks in Geck.

Lol, thanks for the help
What do you think? Close kinda?
http://img831.imageshack.us/img831/7024/hmmbe.jpg

It is very close.