'Jede' would refer to a feminine noun, like 'Jede Frau hat Eltern' (each woman has parents) but if you want to use it for 'each and every one' you normally use the male form. (what i mean to say is that the word parents doesn't have anything to do with it)
In daily use, "jeder" (the masculine form) is the correct form. You would only use "jede" if you were to imply a feministic background. For a while in the 90's, some people wrote "jede(r)" to make sure that absolutely nobody is offended.