About the name Skytte - Flemming can answer better than I can. Originally Skytte was likely an identifier name that could take the place of the patronymic name or could be used together with it. "Skyte" is translated as "sharpshooter" on this site: www.gramtrans.com
. A job title, it means gameskeeper I think. Perhaps some ancestor was a gameskeeper on an estate.
We can't know the extent to which the names are a pair until looking at the use of them over time (which would be interesting to do!). If I'm just guessing, I'd guess you'd find records for Lauritz's father that omit the name Skytte, and perhaps some that omit the name Knudsen.
Danish last names continued to settle down into permanent surnames throughout the 1800s.
You'll find the Kaas family on this website:http://www.thuroarkiv.dk/index.php
Everyone in the family born in Thurø:
Niels Vilhelm Kaas 51, married, occupation skibsreder
Ane Christiane Frederikke Kaas, born Hansen, age 41, his wife
Frederikke Kirstine Kaas 15 datter <----------
Grete Eriksine Kaas 10 datter
Peter Johannes Kaas 7 søn
Jørgine Madsine Kaas 5 datter
Niels Nielsen Kaas 2 søn
Of course "born Hansen" means Hansen was her maiden name.
1860 here (see under Wilhelm Kaas). Family is living with the widow Kirsten Larsdatter and her son Johanne Kaas - presumably mother and brother to Niels Wilhelm Kaas. Niels Wilhelm Kaas is a skipper, and Johannes is a matros (seaman):http://www.thuroarkiv.dk/index.php?option=com_content&ta...
1850 here. Kirsten now listed as mother to both Wilhelm Kaas and Johanne Kaas. The boys have seafaring job titles:http://www.thuroarkiv.dk/index.php?option=com_content&ta...
For more census years, see Folketaelling menu on home page.