Unroll Surface WITH a Texture

I do a lot of patterning and many of things that I unroll have artwork on them in the form of decals/tectures.
Whenever I unroll, the texture is removed, so I have to re-apply it after and itis hard to make sure it aligns at the seams that way.

Is there a way to unwrap a surface WITH the texture. I know it will warp it when going flat but that is exactly what I want. I want to be able to print these patterns and for the art to match back up when sewn together.

Please help.

Thanks in advance