The wee hours (of the night/morning) American British noun phrase
Used to indicate the early hours after midnight, particularly from 1 am to 4 am morning.
Lisa stayed up until the wee hours to handle the immense workload.
I was rehearsing the presentation until the wee hours, that is the reason why I feel sleepy now.
My brother is a night owl, he often surfs Facebook until the wee hours of the morning.
According to the Oxford Dictionary, "wee" has been used since the 1600s in Southern England.
Being perfectly suitable for one's interests or abilities
Jasmine really loves children, so being a kindergarten teacher would be right up her alley.