Ok after checking the .mb file I see that neither of the two giraffes have been UV mapped , I am not sure how you managed you do this as you obviously had a UV map to work to with the texture file.Once I remapped the model the texture covered fine,I only used automatic mapping but I beleive thats what you used originally.

Regarding the duplicate model..yes you should delete it and always try to keep your scene as clean as possible or you maight find weird problems showing up later on your project.