Probate of the Will or letters of administration to the estate of a deceased person may be granted by a District Judge under the seal of his Court, if it appears by a petition, verified as hereinafter provided, of the person applying for the same that the testator or intestate, as the case may be, at the time of his decease had a fixed place of abode, or any property, movable or immovable, within the jurisdiction of the Judge.