Bramley advice required

Can someone advise. I already have one Bramley in my smallish garden (planted last year). It did not fruit very well. I also planted two other apple trees (Diva) which did fruit well.
I'm looking to plant another Bramley but need advice re pollination. I live in a Fenland Village - there is a large Bramley orchard approx 1 mile to the South West of my garden (lots of houses in between) and there is a Cox's orchard 300 yards to the North East. I assume that the Bramley orchard has other trees within to aid pollination.
There are plenty of fruit trees in the village gardens but I am not sure exactly what variety.
The key question is - will I need to plant other trees that will aid pollination or could I rely on local pollen from orchards and neighbours?
Richard Miller

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