Rounding the reef off its south extremity, we anchored in 18 fathoms, one mile South 65 degrees West from the centre of the island before mentioned--Number 1 of the group South of Cairncross--shortly before noon. This Captain King supposes to be Boydan, that on which the crew of the Charles Eaton were massacred. It was therefore determined that the remainder of the day should be spent in examining the place, with a view to ascertain the correctness of this supposition. The melancholy interest of the search was to me greatly enhanced, from having seen at Sydney young D'Oyly, one of the survivors of this ill-fated party, and son of an Indian officer returning from furlough. Being an infant, his helplessness excited the sympathies of an Indian woman, who snatched him from the arms of his murdered mother, and sheltered him within her own. Nor did her kindness stop here, the never-failing maternal solicitude of the sex, inducing her to protect and console the child. EXAMINATION OF BOYDAN ISLAND. We had just read Captain P.P. King's interesting pamphlet in relation to this sad event, detailing with minuteness all the circumstances of the tragedy, and with our minds so recently imbued with the horrors it inspired, naturally advanced to the search with zeal and activity; anxious, if possible, to place the locality of its occurrence beyond a doubt. The isle was easily traversed, being of small extent, not more, indeed, than a mile in circumference. We crossed it accordingly in every direction, and discovered the remains of native fires, near which great quantities of turtle bones, and some coconut shells were scattered about. It was remarkable that wherever boughs were cut, an axe or some other sharp instrument had been used. A topmast with the lower cap attached to it, was found on the South-East side of the island, which we afterwards discovered to be a portion of the brig William, wrecked on the outer barrier three months before. Captain King drew his conclusions relative to this island from the circumstance of young Ireland's stating, that on their way to it in the canoe, after leaving the raft, they first passed three islands on the right northward, and one on the left southward. CORRECT CHART.