To conclude, if @Chascomm is correct about this being a jeweller's private-label watch, then by the simple expedient of using Google you'll find a Zielinski Jewelry & Watch Co based in New Jersey, USA. By the same means, you'll also find multiple entries for the long-established Eloga Watch Co who may well have supplied the movement (or, indeed, the complete watch) to such a jewellery business.
Regards.