All 6 Uses

consequence
in
The Prince and The Pauper
(Edited)

Each garment in its turn had to go through this slow and solemn process; consequently Tom grew very weary of the ceremony; so weary that he felt an almost gushing gratefulness when he at last saw his long silken hose begin the journey down the line and knew that the end of the matter was drawing near.
Chpt 14

consequently = resultantly (as a result)
The sheriff, however, saw nothing consequential in the inquiry; he answered, with simple directness— "Indeed did she, your Majesty, and most righteously, as all aver."
Chpt 15 *

consequential = important
She was a widow, and rather poor; consequently she had seen trouble enough to enable her to feel for the unfortunate.
Chpt 19 *

consequently = resultantly (as a result)
It made him shudder to think of spending it in such an uncanny place; so he tried to hurry faster, but he only made the less speed, for he could not now see well enough to choose his steps judiciously; consequently he kept tripping over roots and tangling himself in vines and briers.
Chpt 20
For a bribe the jailer had furnished liquor to some of the prisoners; singing of ribald songs, fighting, shouting, and carousing was the natural consequence.†
Chpt 27

consequence = result
Lately he had repeated his offence; and in consequence was now under sentence to lose WHAT REMAINED OF HIS EARS, pay a fine of 5,000 pounds, be branded on both cheeks, and remain in prison for life.†
Chpt 27

Definitions:

(1) (consequence as in: a direct consequence of)
a result of something (often an undesired side effect)
(2) (consequence as in: of little consequence)
importance or relevance
(3) (meaning too rare to warrant focus)
In classic literature, consequential may refer to someone with too much feeling of self-importance as when Dickens wrote "Because he's a proud, haughty, consequential, turned-up-nosed peacock."

Self-consequence was used in a similar manner, but is more easily understood by modern readers since important is one of the modern senses of consequence.

Another classic sense of consequent that is similar to importance or significance refers to "material wealth or prominence" as when Jane Austen wrote: "They had each had money, but their marriages had made a material difference in their degree of consequence."