Well, it isn't as clear cut as you would think, what ever is?
Translating on the fly, as it were..
Jens Andreas Pedersen Dissing (1866 - 1932)was a potter and 7 out of his 8 children were taught by him. All 7 went on to have their own workshops.
One of them, Leon Dissing was employed in DANICO and Annashaab (
Anna's hope )until he decided to get his own place in 1930.
To begin with his selection was very limited but soon he expanded it with plates, figures, wallvases, vases, jars, teasets, "barselspotter" (
don't know if these were ever made in England but they large covered pots full of food which neighbours took to a woman who after she had given birth ) and raised cake-or flowerstands.
He made some interesting items with a black glaze and orange-red edges, also exciting things with a green glaze almost like a lapwing's eggshell, also with orange-red edges.
In his later years Leon Dissing made abstract reliefs and made many things in an attractive rustic style. Items made by Leon Dissing were not always signed but they may have an "engraved", intertwined LD on the base or an impressed DISSING with a handwritten L infront.
That was Leon. This was taken from the Danish version
I found a mention of a potter called Leon Dissing (1897-1986) who worked in Horsens. Here's the link: http://www.ceramicstoday.com/articles/danish_ceramics6.htm (about 1/2 way down the page.)
Now from
Ah OK, so how about pottemager Ejner Dissing, 1894-1974, http://www.antikbrevkassen.dk/stort.asp?selbinr=5653 
They could still be going: http://www.danmarks.net/firma.phtml?idxno=1418&letter=D&accno=147374
" Here in Denmark, the Dissing name, in ceramiks context, is particularly connected to the Dissing workshops where several generations produced ceramic items. The birds you have shown us
( By the way, the label says the same as Kev's. It just isn't shown on the picture but the words and spelling are the same)These birdes are reputedly desigened by Ejnar Dissing who from the middle of the 50's had his own workshop in Hedensted and who attained great popularity with his figures of small birds, often fullsize or a little smaller. When the workshop was sold, the new owners were given permission to use the Dissing name."
I think possibly that the name has been carried on because your second link "links" to a company which doesn't seem to exist any more. I looked up the phone number and it leads to a person who is a factory owner. Nothing about ceramics, but I can see that he is very active in local politics and in cultural life around the town
Have been everywhere I can think of to find out more but the links that have been suggested are the best and the most informative!
Given that 7 sons of a potter all started their own places, I reckon it's pretty likely that Ejnar Dissing was a bother to Leon. And Hedensted ain't that far from Horsens!
