I'm not sure there is a connection. a 1811 there where several people that have taken a surname.
What I now:
About 4 have taken Lycklama a nijholt as surname
About 4 have taken Van Nijholt
About 12 Have taken Nijholt
In diverent parts of Friesland< the netherlands
I have no connection found.
If there is a connection it is before 1700