Yesterday was the day appointed by the Governor of New-Jersey for the execution of the sentence imposed upon JACOB S. HARDEN for the murder of HANNAH DORLAND HARDEN, his wife. The facts connected with the death, arrest, trial and conviction, have, in full details, been given to our readers, and it now remains for us to present the last dark picture in the tragedy, and leave the rest to be settled between the murderer and his Maker.