Hamburg, Jan. 8 - Dr. Benjamin Nice, son ofB. F. Nice, a prominent young physician of this borough, was arrested to-day by Detective Matz, of Reading, on the charge of desertion and bigamy.Dr. Nice entered bail in the sum of $3,000. The arrest was made upon oath of L. H. Mickley, express agent at Hamburg. It is alleged Mickley's daughter was married to Dr. Nice about thirteen years ago and afterwards deserted by him at Norristown.The warrant also charges Dr. Nice with having married Miss Ada Derr, of this borough on January 1st last.The Doctor claims he has a legal divorce.