DISTRESS IN CORK. January 18, 1847.

A letter addressed to the Cork Examiner, dated Ballydehob, Jan. 10, and bearing the signature of "Jeremiah O'Callaghan," says --

"Since my last report, deaths are fearfully on the increase in this locality. Four have died in the immediate vicinity of this village within the last few days. In the mountain districts they die unknown, unpitied and in most instances unburied for weeks. Yesterday a man was discovered half concealed in a pigstye, in such a revolting condition that humanity would shrink at a description of the body. It was rapidly decomposing; but no neighbor has yet offered his services to cover the loathsome remains. Death has taken forcible possession of every cabin. Poor Coughlan, of the Board of Works, was crawling home a few nights ago, when hunger and exhaustion seized him within a few yards of his house, where was found the following morning, a frightening example of road mortality. If the present system of road making be obstinately persevered in, West Carberry may be properly designated a universal grave-yard. I have just learned that in the neighborhood of Crookhaven they are buried within the walls of their huts. They have in most cases forgotten the usual ceremony of interment. The living are so consumed by famine they are unable to remove the dead. The Examiner could scarcely contain the names of all who have perished for the last month. I shall trouble you with no more particulars; but send you the gross number of victims when I write again."