Though I haven't seen Fr. Ripperger's prayer book, his book Dominion has a whole chapter about authority. Basically, he says that among laity, authority is within the family: father over wife and minor children, and I think he explains a qualified authority of the wife toward the husband in the sacramental reciprocity of marriage (not to get too far into detail there). A mother's authority over her minor children in effect is delegated to her in a limited sense by her husband. Grandparents have no authority over grandchildren unless delegated by their father, and adult children have no authority over their own parents. The 1962 Missal also includes several deliverance prayers for private use by laity. It would seem that within the family is when these would be allowable, yes?
Beyond the above, Fr. Ripperger says that no layperson should ever attempt to engage with demons afflicting any other person. Yet it's essential that one have self-authority with regard to demons, otherwise an exorcist would be blocked by the affected person's non-cooperation.
The group that calls itself "Catholic" but is dangerously Prot-friendly is Neil Lozano's "Unbound" or "Heart of the Father" -- definitely stay away from them. They don't even acknowledge Our Lady nor any of the Saints.