My research into the Manx family Qualtrough has only encountered the connection with QUALTER/S when one Qualtrough - Edward Qualtrough 1796-1884 who married Elizabeth Hughes in Liverpool and they had about 9 or 10 children in the Toxteth Park area. Over a couple of generations his large family interchanged the name between Qualtrough/Qualter/Qualters till finally emerging as Qualter/s with the Qualtrough name being lost to this particular line.
You might like to read Jim Linton's material on the Qualtrough name (although not complete as it does not include Wat(t)terson or Kodhere/Codhere versions. Go to:
http://www.qualtrough.org/name2.htm
Also if you go to:
http://www.qualtrough.org/chart14-15.htm
and scroll to chart 15 you will see an outline of the above family.... this has been updated a little since that was published in 1984.
Do you have any Qualtrough connection?
Kind regards
Elizabeth