The Morten family were, and still are, to be found in the High Peak of Derbyshire. There is a whole stack of them in the phone book.
They are very prominent in the Methodist Movement in the area. I have a copy of an article in the Methodist Recorder (the UK Newspaper of the Methodist Church) Circa 1900 recording the Coombs (a village near Chapel-en-le-Frith, High Peak) branch of the family, which I would be happy to e-mail to any interested party.
I also have copies of correspondence between the Morten family of Beeley Hilltop Farm, Near Chatsworth, Derbyshire and an American branch of the family, also Circa 1900.
Also prominent in the Morten history is Cowdale Hall near Buxton, where many generations of Mortens have lived.
There have been at least two books published in the UK about Morten family members. I can send you the ISBN numbers on request.
Some claim to be able to trace the Morten family name to Robert of Mortaigne, the brother of William the Conquerer, however I think this is rather fancifal.
Certainly, the archives of the Eyam plague seem to identify a Morten as the last victim.
There are several relatives that I know of who have been researching here in the UK the family history, and I would be more than happy to pass on any queries to them. I cannot promise an answer.
I would be delighted to hear from any Mortensout there.