From the map the Bladesinger Keep is in the eastern part of the Southern Kingdom, and the King's Aerie is in the southern part of the Central Kingdom, Not counting the run, on foot, to Tin----- I figured, by looking at the map of the continent, that its about 175-200 miles to Sillarion. A seasoned endurance horse can do 100 mile in 10 to 12 hours over varied terrain, this also means climbing mountains. So given a regular horse, however young, It would probably take her 16-20 hours to get to her parents, and that is without rest. This would using the time old method of walk,trot, run and during the trot, the rider gets off and runs along side the horse.
True Elven Forests also have their our obstacles, lots of trees and rivers and wild things., Lions and Tigers and Bears, OH, MY!