From BiblePortal Wikipedia

King James Dictionary [1]

Earnestly, adv. ern'estly. Warmly zealously importunately eagerly with real desire.

Being in an agony, he prayed more earnestly.  Luke 22 .

That ye should earnestly contend for the faith once delivered to the saints.  Jude 1:3 .

2. With fixed attention with eagerness.

A certain maid looked earnestly upon him.  Luke 22 .

Webster's Dictionary [2]

(adv.) In an earnest manner.