Upon the death, resignation, or removal of a trustee of a registered society or branch, the property vested in that trustee shall, without conveyance or assignment, and whether the property is real or personal, vest, as personal estate subject to the same trusts, in the succeeding trustees of that society or branch either solely or together with any surviving or continuing trustees, and, until the appointment of succeeding trustees, shall so vest in the surviving or continuing trustees only, or in the executors or administrators of the last surviving or continuing trustee, except that stocks and securities in the public funds of Great Britain and Ireland shall be transferred into the names of the succeeding trustees, either solely or jointly with any surviving or continuing trustees.