Yesterday, between 2 and 3 o'clock, the following very distressing calamity occurred in the family of Mr. Branch, of Collins-street, New Pancras-road, who is an extensive dealer in sporting and other valuable dogs. Mr. Branch has an out-building at the back of his premises for keeping the dogs in he has for sale, and into this place it appears that Mr. Branch, with a view of preventing accidents, never suffers any person but himself and the keeper to enter. Yesterday, however, the door of the yard was incautiously left open at feeding time, when one of Mr. Branch's children, a fine little boy between four and five years of age, ran in during the temporary absence of the keeper, and was immediately set upon by three large Newfoundland dogs that were loose, and one of them immediately seized him by the top of the left shoulder and shook him violently until the piece of flesh was completely torn out, leaving a most severe and dreadful wound; the others also attacked him and bit him in several parts of the body, and especially on the right arm below the elbow, where the flesh in seven different place was perforated to the bone; one of them fastened on the flesh of the left cheek just below the eye, and inflicted and dangerous and extensive bite, which in all probability will entirely destroy the sight of that organ. The screams of the unfortunate child at length reached the inmates of the house, who quickly ran to his assistance, and with much difficulty the dogs were beaten off, and the child was directly conveyed to the nearest surgeon's in a sadly mutilated state. There were no less than 27 different bites on various parts of the body, and upwards of two hours were occupied in putting on the first dressings. The boy is considered in the greatest danger.