Oz you may find that that wire will fit. Vintage wire is generally tinned already so you may not need to tin again. As the joints across the two pins are connectors you can either go to smaller wire to make connections or fill the outer( or inner dependant on preference) of the connections carefully with solder so is full. Strip the wire long enough that it will go in one hole and bend across to the solder filled hole. Solder the wire into the pin then across the top of the filled pin.