First, Haarlem is not in province South Holland, but in North-Holland (Noord-Holland in Dutch)
Jan Slingerland was son of Joost Slingerland and Gijsberta Jonkers Kuipers,
she had first just Jonkers as last name.
Anna M. P Ziegler was daughter of Willem Hendrik Ziegler and Petronella Johanna Vaartmans,
this according the marriage record of Jan Slingerland. (14-1-1863 Haarlem)
, only in Dutch but perhaps you recognize the names
Joost SlingerlanT (cooper as work) and Gijsberta Jonkers (as her last name then was) married on 10 april 1816 in Haarlem, Joost was son of Pieter Slingerlant and Guurtje van Ingen (she's among my ancestors, her sister married one of my ancestors!), parents then already dead
Gijsberta Jonkers was daughter of Gijsbert Jonkers and Catrina van Gelderen.
Both born in Haarlem.