Neither of those names are found in the "Swiss family names book" (online edition at:
http://hls-dhs-dss.ch/famn), at least not under these spellings. Therefore, you will need more clues before you can make a Swiss connection. (The Swiss family names book concerns families who had hereditary citizenship in Switzerland. It would not include non-citizen families who happened to spend some time in Switzerland, and I gather that may be the situation in your research.)
Can you give us a little more information about the family? Have you located death records for any members of this family at Mulhouse or elsewhere? Have you investigated other spellings that might have been used in the records at Mulhouse? What was their religion? Do any of the records include signatures of family members, which might help you decide whether their native language was French or German? Do any relatives appear in the birth records you have found so far? What is the evidence to connect this family with Zurich?
You might consider looking for this family in the church records of Basel, on the theory that there was a lot of traffic between these two cities. The Basel church records are on the FamilySearch.org web site, though they are not particularly easy to use. There are some indexes, but they are not labeled in a way that is easy to find. Contact me for more information if you want to give it a try.
John McCoy
(
RealMac@aol.com)