Fran, perhaps if you start a thread of your own now about this family, you will finally receive the help you need. The volunteer researchers in Danish forums now are very skilled and very active.
Genforum also has an excellent Denmark Forum with expert volunteer researchers.
Another spot for help is Slaegt og Data DIS-Danmark “Finding Your Relatives in Denmark” forum. I would focus on one task you ask of volunteers, such as filling in the birth dates for the children of Anders Martinus Nielsen and Kirsten Marie Jensen, and then continue on filling out the family history from there, one step at a time.
Here is a (probable) family member for you (see LINK). She lives in Calgary, Canada, and posted a query on Slaegt og Data DIS-Danmark in 2007 regarding Anders Martinus Nielsen and Kirsten Marie Jensen.
By exploring this line, perhaps it will emerge why the differences between your list and the census data. Here’s the LINK:http://www.dis-danmark.dk/forum/read.php?1,331358,331369
The post is hard to understand, and written in Danish, so I’ll try to interpret, in case that helps. She is asking about the parents of Petra Jensen Nielsen born 02 December 1891 in Vennebjerg. Her own family history has the parents noted as Kristine Marie Rub?k born about 1871 in Hjørring, and Mathinus Nielsen. The forum members looked at the baptismal record for Petra Jensen Nielsen. There they found the “true” names of her parents - Anders Martinus Nielsen and Kirsten Marie Jensen. One volunteer researcher suggests that the illegible name Rub?k “comes from his mother, who was Thomine Rubaek.”
The forum further says Anders Martinus Nielsen was born 18 April 1859 in Løkken, Furreby, Børglum, Hjørring. Kirsten Marie Jensen was born 03 January 1861 in Sindal
In 1890 this couple lived in Norre Harritslev, Vennebjerg, Vennebjerg, Hjørring, Denmark. See CENSUS:
Hjørring, Vennebjerg, Vennebjerg, Nr. Harritslev
Anders M. Nielsen 30, married, Arbmd, Husmand born in Løkken
Kirsten Marie Jensen 29, married,, born in Sindal
Ane Tomine Nielsen 7 born in Nr. Harritslev <-----notice the name Tomine
Johan Robert Nielsen 6 born in Vennebjerg
Chr. Valdemar Nielsen 4 born in Nr. Harritslev
Niels Chr. Nielsen 1 born in Vennebjerg
1880 here is this Anders, unmarried and working on a farm in Harritslev, LINK:http://www.ddd.dda.dk/asp/vis_husstand.asp
This could be Thomine but I have not verified if this is the correct woman, as the first step would be to find the births of the children of Anders Martinus Nielsen and Kirsten Marie Jensen:http://www.ddd.dda.dk/asp/vis_husstand.asp
A little note about names: Rudbaek/Rudbek, etc. is a place name. In old naming practices, a Dane could be called by a place name interchangably with a patronymic name (for example Niels's son, Niels's daughter) or (Jens's son or Jens's daughter). My mother's Danish maiden name is a place name. Read about Danish naming practices if you haven't already done so - this can help explain why Danish genealogists can accept (after research) that the same person could have two apparently different "suranames" (these aren't true surnames as we think of surnames).
So...that's a little jump forward I hope and much much more can be uncovered from this starting point. All good wishes, and happy new year. :D
P.S. A person can be called by their middle name instead of their first name. I'll ask two of my grandparents to step forward as an example of this. So Petra Jensine could be Jensine on your list.
Med venlig hilsen
To get help from others on slaegt og data:http://www.slaegtogdata.dk/andet/forum-help-english
To "do-it-yourself" a list of helpful websites:http://www.slaegtogdata.dk/forum/index.php/topic,41708.0.htm...