After some browsing with search words debian zd1211 I found a non-free package containing firmware with driver was out there on the internet. All I needed to do was to check if file /etc/apt/sources.list had non-free software allowed.
No problem with sources.list. As root the command apt-get install zd1211-firmware did the trick. Raspbian has a graphical wifi tool ready on the Desktop. So in just a moment Epiphany-browser was opening web-pages. This hardware installation had happy end!