I have run across a few folks like this. I know of a child who took another dose of a stimulant before bed so she could sleep — otherwise her mind and body were too active for her to fall asleep.
A Patient’s Primer on the Stimulant Medications Used to Treat ADHD
Penny
ADDitude Community Moderator, Parenting ADHD Trainer & Author, Mom to teen w/ ADHD, LDs, and autism