You're translating it wrong
![Wink ;)](./images/smilies/icon_e_wink.gif)
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"Groin wood" is a bad translation of "Lieshout", which is a place in Holland. Here's what Wikipedia has to say about its origins:
Lieshout is a village and former glory in the Dutch province of North Brabant. The earliest known spelling of Lieshout is Litholz, found in a document from 1146. This name originated from lide = path, walk, path and cavity = forest. The lide was the path that runs along the eastern edge of the dense forest (later Lieshouter Forest) ran as part of a Roman trade route.
Your name in American English is probably written as Vanlieshout? In Dutch it would've been "van Lieshout" (as in, "from Lieshout"). In most cases, this means that one of your ancestors had something to do with the town of Lieshout, like he lived or worked there. People would refer to him as "John from Lieshout" for example.