From BiblePortal Wikipedia

King James Dictionary [1]

Curiously, adv.

1. With nice inspection inquisitively attentively.

I saw nothing at first, but observing it more curiously, the spots appeared.

2. With nice care and art exactly neatly elegantly.  Psalms 139 . 3. In a singular manner unusually.

Webster's Dictionary [2]

(adv.) In a curious manner.