This case sounds like it has all the characteristics of a classic small nozzle fracture. If it is indeed a case of fatigue, then there are several possible angles of attack:
1) Reduce the amplitude of the vibration, by damping it at its source and/or somewhere along its path to the fracture location.
2) Add gussets (if feasible) that act normally to the plane of vibration.
3) Reduce the geometric stress raiser by ensuring no undercut and then grinding a radius at the weld toe. Peening would be a further measure.
Note that adding more weld will not help; this is a base metal failure. The weld merely provides a stress raiser conveniently coinciding with the point of maximum stress caused by bending. In fact, it can exacerbate the situation by increasing the tensile residual stress.