What does Ulric mean?
Middle English form of the Old English name Wulfric, from 'wulf' ('wolf') and 'ric' ('power, ruler'), meaning 'wolf power' or 'wolf ruler'. Note it is often conflated with the German Ulrich, which derives from Uodalrich ('heritage/prosperity ruler') and does NOT contain the wolf element.
What does Remington mean?
An English habitational surname from Rimington (Yorkshire/Lancashire), from Old English 'Riming' (boundary stream) + 'tun' (settlement, enclosure), i.e. 'settlement on the boundary stream'. Often loosely glossed 'place on a riverbank'; it also carries firearm-brand associations.