I was put into an ambulance and when I woke up, I was on a bed.
I was picked up by an ambulance and was on a bed when I woke up.
救急車で運ぶ時 - pick up byかput into an ambulanceを使います。
Put into an ambulance は意識がなく救急車の人は助かるの時です。
Picked up は救急車を読んで来たの時です。
救急車 - ambulance
起きたら - when I woke up
ベッドの上だった - I was on a bed
起きたらベッドの上だった英語にする時順番２つがあります。
When I woke up I was on a bed か was on a bed when I woke up
どっちでも使えます、意味は同じです。
I was so drunk I had to be taken to the hospital by ambulance. The next thing I knew I woke up in a hospital bed.
この場合、次のような言い方ができますよ。
ーI was so drunk I had to be taken to the hospital by ambulance. The next thing I knew I woke up in a hospital bed.
「酔っ払いすぎて、救急車で病院に運ばれ、気がついたら病院のベッドの上だった」
to be taken to the hospital by ambulance で「救急車で病院に搬送される」と言えます。
ご参考まで！
イギリス 
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