Periods of history pick up names if they are relevant, memorable and inclusive. The same period can be included in more than one category if useful. So the early part of Henry VII's reign may be referred to as part of the Wars of the Roses or as Tudor. Similarly Elizabethan is generally seen as referring to Elizabeth I, but she can also be lumped in with the Tudors while Elizabethan has also been applied to the present Queen's reign, especially in its early years. Lots of people looked forward to a "new Elizabethan age". The Napoleonic period sits inside the Georgian period, but is well-recognised.
I think your own suggestion has some merit, a Windsor period is a distinct possibility. The only problem is, in the absence of revolution it's liable to go on for a while! We tend to like our named periods in manageable chunks.