We live in Fällanden our daughter born 2009 in Zollikerberg hospital, we both no-EU married outside switzerland, the follow steps:
Before born: Collect ask for new issues of our Birth Certificates and Marriage Certificate, those documents were left in the hospital after the birth.
15 days later we got a letter from the Civil Register of Zollikon to check if the Birth Certificate was OK, and them it was finally issued.
Then we got a letter from our Gemeinde Fällanden asking to go there and issue the permit for our daughter, detail we should bring also her passport.
7 days later we got her passport issued, 1 month later we received her B-permit