What is JotForm?
JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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Can you please specify how the referrals should be? Currently, there is no such Referral widgets available. But I would like to find out more how it was suppose to be used so that I can at least submit a feature request to our higher team support.
There were those Social widgets thought http://widgets.jotform.com/category/social
perhaps they can also work to what you required at the moment.
We will wait for your updated response.