The optional second argument is where you specify an alternate name, if needed:
zf.write(r'Z:\Jared\Disclaimer - Final.txt','Disclaimer - Final.txt')
... or better yet:
import zipfile, os
...
path = r'Z:\Jared\Disclaimer - Final.txt'
zf.write(path,os.path.basename(path))
^ also, be careful how you write your paths. Should use 'r','/', or '\\'.