What does Louis mean?
From the Frankish Hludwig, combining 'hlud' (famous, loud) with 'wig' (war, battle), hence 'famous in war'. Carried by 18 kings of France.
What does Reginald mean?
From Germanic 'ragin' ('counsel, advice') + 'wald' ('rule, power'), i.e. 'ruler by counsel' / 'counsel-power'. Note: this is 'ruler/power', NOT literally 'king'. Reynold and Ronald are closely related forms.