The local shape of the sea bottom and surrounding shore-line will influence the effects of the different harmonic constants that comprise the total height of the tide at a particulat place.

The actual observed tides are analysed in order to model them for tidal prediction. There are over 60 different mathematical components that are usually considered in order to do this. Each one is a sine wave with its own amplitude and phase lag (think of it as a sine wave moved left or right against time). Each one of these will have a different amplitude for a different location.
They al have names by the way, like M2, S4, or something much more complicated, etc. which refer to the Moon or Sun for the two quoted and the number of times per day that they occur.

In a particular location it may well be that the sum of all the components from the relevant harmonic constants give a larger value (and hence a higher tide) some time after another nearby location.
It could be the effect of a sandbank emphasising particular harmonic constants etc.

Tides are constantly being monitored and fresh readings taken as change is always taking place. As a result you may have two locations that are close together where the published tidal predictions are based on readings taken in different time periods, perhap one set is twenty years older that the other. This could give you a more accurate prediiction for the one with the newer analysis.

I'm not mathematicaly qualified to any excetional degree but I was involved with publishing the Admiralty Tidal Predicitons for some time several years ago!