If Sophies getting a morning dose of Levemir and her readings are good at lunch and teatime, but her morning readings are still a little high , then its her bed time units that need increasing. If its usually around the 10 mark i would just increase bedtime dose by 1 unit and see how it goes over 3 -4 days.
We bought Andrews Levemir forward to 8pm, it still runs out by mid afternoon, but his bs has improved a good bit, and his extra dose of humalog at 4pm, even though it overlaps with tea time, just seems to be working (fingers crossed it continues)
good luck,
Suzi x