Laura D. Fair was yesterday morning acquitted by a jury of her countrymen, having been convicted by another jury of her countrymen. That she shot Crittenden nobody pretends to question ; that she shot him in the preseqea of his wife because he left her embraces to return to that wife, it would be a vain task to deny ; that her crime was premeditated killing therefore murder there is little doubt; and stripped of technicalities these wero the grounds upon which the first i ury found her guilty. On what grounds she has been declared not guilty we have yet to learn. According Accord-ing to the old Mosiac law, prevailing when men and women practised polygamy poly-gamy and held chastity as sacred as life itself, Crittenden's liasoo with Mrs. Fair would have cost him his life, by judicial decision; and tho penalty of her double crime of adult r; and murder, would havo been no less.