Cindy, Read all the interesting stuff in the Nebeker Family History but something you had said earlier triggered a thought. You had questioned at one point about having the right century with regard to the incident involving the Wakefield brothers and if we go back one century to the Williamite Wars in Ireland between the Catholic King James of England and the Protestant King William of Orange, a plot against Catholic rule then would have been against a Catholic King of England who had the support of the French and the Catholics in Ireland.
A savage and decisive(for King William)battle took place at Aughrim, County Galway on 12 July 1691 but the war had gone on for years prior to that. The Orange Order in the North of Ireland still parade on 12 July every year to celebrate the defeat of the Catholics and King James II much to chagrin of the Catholics who live there.
In any event, the Wakefield lads may have plotted against Catholic rule, i.e, King James II et al, and then the executions, jails and fleeing the country would all make sense.
See if this possibly fits your timeline.