Niels, I admire your ability to read the really old church books! I had started to look at the same book, also to see if I could confirm his birth record, but... wow... they are so hard to read! The record would confirm the details from Ribe Wiki, where father given as Nis Hansen.
Please go ahead and add anything you find. I'm just helping out/following your lead, so don't let me hold you up. I'm currently trying to see if I can find marriage record for Thomas Nissen & Anna Pedersdatter.... I'm having a few guesses at where & when, so may/may not be successful. haha!
If you would prefer I try to track down birth records for the other children, please let me know.
PS Is there a site that help convert those liturgical dates? I imagine "DOM ix p Trin" = 9th Sunday after Trinity (Sunday), but not sure how to convert to "standard" date. I have a few in my own family tree like this.