Thank you so much for the information! Seems like they moved around a bit! From this I gather that they had to register with the Police if they moved from one place to another - as Carl Erik was a Swedish subject!?
I haven't done all that much research in Denmark before - only for Laura A V Jensen - who was born in Rönne. Can you recommend any other Danish resources to search? In Sweden we have the Swedish Census for 1880, 1900 etc that can be very useful.
Thank you again - have a good day!