How to use "consequence" in a sentence

"No person held to service or labor in one State, under the laws thereof, escaping into another, shall in consequence of any law or regulation therein be discharged from such service or labor, but shall be delivered up on claim of the party to whom such service or labor may be due."

If the slave is to be surrendered, it can be of but little consequence to him or to others by which authority it is done

Now, for the judge's benefit, and to explain why an exhumation had suddenly become such a vital matter, Elliot exaggerated the anguish and confusion that Tina had undergone as a direct consequence of never having seen the body of her child.