early, late
She awoke early the next morning.

abruptly (esp. AmE), suddenly
He awoke suddenly in a cold sweat.

slowly

from
I awoke from a deep sleep at six o'clock.

be, lie
At night he lay awake beside her.

come (esp. AmE), jerk
Claudia came awake slowly.
Stephen jerked awake from a nightmare.

keep, remain, stay
He was struggling to stay awake.

jerk sb, jolt sb, nudge sb, shake sb
A few hours later Benjamin shook me awake.

keep sb
The noise had kept her awake.

fully, wide
By now, the baby was wide awake.

barely, only half
It was very early and I was only half awake.

still
The children were still awake when we went out.