This noble institution owes its existence to Captain James Randall, who, in the year 1801, bequeathed a piece of land in the upper part of the city, for the foundation of a retreat for worn-out seamen, who had sailed from the port of New-York; it was called most appropriately the SNUG HARBOR, and many a poor mariner has since found safe moorings there, when no longer able to follow his perilous calling. The benevolent-hearted sailor who founded this noble charity could hardly have dreamed that the small property which he bequeathed for that purpose, could ever increase to the magnificent sum which it is now valued at. The income from the estate in the year 1806 was but a little more than four thousand dollars; it is now thirty-seven thousand dollars, and will be, next year, when the leases of the property have to be renewed, at least sixty thousand dollars a year, an income abundantly large to support even in luxurious comfort the worn-out tars who may be compelled by misfortune to seek this magnificent asylum. The trustees of the Snug Harbor are about to build extensive additions to the present accommodations for it inmates, and among the new buildings will be a hospital for the insane. There is no chapel attached to the Snug Harbor, but there is a regular chaplain who performs religious services every Sunday in the large hall in the centre building. In front of the principal edifice a plain monument of white marble has been erected by the trustees in memory of Captain Randall, the founder of the institution, which is chiefly remarkable for the omission, in the inscription, of any information respecting the birth or death of the person in whose honor it was erected. [Illustration: THE SAILOR'S HOME.]