My apologies for such a long break but I lost the contact on the net. The following information is what I have on where the Zornlins came from:
The Zornlin branch emigrated towards the close of the fifteenth century to St. Gall where John Jacob Zornlin was born 26 May, 1677. He married Martha Weguelin 23 June, 1702 held the office of Stadt Schreiber, and died 18 October, 1722. He had a son, also John Jacob, born 16/27 October 1712 , who came over to England and settled as a merchant in the City of London about the year 1740 in partnership with John Rudolph Battier of Basle, whose daughter Susanna Maria he married on 13/24 June 1752.Zornlin naturalized at least it is presumed so, as he purchased a freehold house, 15 Devonshire Square, Bishopsgate, which was held by the family until the year 1870.
Please let me know if you have any more information on them , thank you