Unless you are under some kind of pressure, I don't think there is a need to disclose your source of income to family. No matter how much you earn online, live modestly. Don't try to be flamboyant that's when you start turning eye bros. And depending on the family you come from - conservative or liberal, one doesn't need to give the details of their online activity. Simply say, you do freelance jobs online will suffice. My rule is to live modestly.
I agree to this cause there's no point giving family much details about your source of income when you definitely know you're on the safer side like the source of your income is legit.
I wonder why some families tend to pressure one on this very thing I see it as a way for them to know the particular amount you earn and see more chances of getting funds from you when you're being paid.