From Our Own Correspondent.

Hilton Head, S. C., Feb. 23d, 1862.

To-day we hear good news; a vessel has arrived with late papers, and we have learned something of the movement of our forces in different quarters. It is really cheering to us, and the cheers that go up from the different regiments here are almost deafening. At last the “ball is opened,” and our prayer is, that the tune may be lively, and the steps short and quick. I have not much that is new to write from here; our folks once in a while take a rebel gunboat, or a battery, and then enter up on some island heretofore occupied by “secesh,” and take possession with very little loss.