This is a second paper on the theoretical distribution, along an estuary, of a combination of tide and surge which have been generated in the open sea. It differs from the first paper in that, in the basic equations, the non-linear inertia term is neglected, and only one phase of the wave is considered at a time. Also, the formulae are now valid for any height of tide or surge at the mouth of the estuary and for any distance from the sea. For the same sequence of meterological conditions over the sea and when the height of surge at the mouth of the estuary is greater than a certain fraction of the range of tide there, the surge up the estuary is less at the time of high water than it is at the time of low water, and it decreases as the range of tide increases. This is a wide extension of the range of validity of one of the results of the first paper.