Its not easy to find on the Fire & Rescue site but click here to open the page in a new window.
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It certainly looks likely! Take a look at my picture of Station Road (above) taken from the forecourt of the then fire station (now vacated and moved to Hassocks Lane). The pet shop building - along with almost everything else in the photograph - has now, of course, been demolished, but, then painted blue, it can be glimpsed between the Lads' Club and the Shaw & Marven building. It's probably a little further away than the 100 metres claimed but the location of the building, close to the centre and its size - it would have accommodated the then horse-drawn, hand-pumped engine (shown below later at the Stoney Street location) - makes it all very plausible.
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Although I thought I had heard most of the tales of old Beeston and thought I knew pretty well "every brick", I had never heard that it had been used for this purpose. But, of course, the reality is there is always something to learn.
Can anyone confirm the story - perhaps, as I say, everyone can except me !