They are both brand names of German products.
Puch used to make mopeds and small motor cycles in Germany/Austria.  Mostly 2
stroke I believe.   I believe they also made regular bicycles too.
These days they are also involved with small 4 x 4 utility or agricultural
vehicles.   Browse for Steyr Daimler Puch of Graz, Austria.

Wurth is a good quality brand of auto products.  They make anything from
wheel paint to windshield bottle additives to contact sprays and a host of
other items.

Steve Cotsford