I'm sorry but there is no mother Magdalena with a child Magdalena born in Arnhem , I looked in 2 birth indexes , but nothing.
Only the one I send you before.
Birth records Arnhem may 1817 starts here:https://familysearch.org/pal:/MM9.3.1/TH-266-11737-35639-85?...
there is also an index on the website of Archief Gelderland:http://www.geldersarchief.nl/zoeken/?miview=tbl&mivast=3...
(probably a bit difficult in Dutch)
I think the birth may have been in a place nearby Arnhem and therefore belonging to the municipality Arnhem.