  First, starting from two hierarchies of autonomous St\"{a}ckel ODE's, we
reconstruct the hierarchy of KdV stationary systems. Next, we deform considered
autonomous St\"{a}ckel systems to non-autonomous Painlev\'{e} hierarchies of
ODE's. Finally, we reconstruct the related non-autonomous KdV stationary
hierarchies from respective Painlev\'{e} systems.
