I´m only well informed about the german lineage and a part of the french lineage from Strasbourg, which seemed to swap over to Germany in the last two centuries.
There is an old lineage in Zurich, Switzerland. A coat of arms exists there (1400). You can find it in the "Siebmacher´s Wappenbuch von 1605". If you don´t like to buy the book, I´ll send you the crest via mail.
The Rey family is spread over the whole Switzerland and it seems to have its roots in France.
One additional question: Is your family catholic or lutherian religion (huguenotte?). This information would be search more easy.