Answer:
I grow for a surface, even if you cut me. I continue to grow even after death.
I'm not really more than holes tied to more holes. I'm strong as good steel, though not as stiff as a pole.
I am the fountain from which no one can drink. For many I am considered a necessary link. Like gold to all I am sought for, but my continued death brings wealth for all to want more.
What travels from house to house and is sometimes narrow and sometimes wide but always stays outside?
Who works when he plays and plays when he works?
When is it bad luck to see a black cat?