YOU SAID:

I woke up and told my computer "good morning!", and immediately fell back asleep.

INTO JAPANESE

目が覚めて、コンピューターに「おはよう！」と声をかけ、すぐにまた眠りに落ちました。

BACK INTO ENGLISH

I woke up, said "Good morning!" to my computer, and promptly fell asleep again.

INTO JAPANESE

目が覚めて、コンピューターに向かって「おはようございます！」と言い、すぐにまた眠りに落ちました。

BACK INTO ENGLISH

I woke up, said "Good morning!" to my computer, and promptly fell asleep again.