Could this be a lime tree (citrus)

in Plants

We went out for a bike ride early this morning to collect apples from an apple tree along a cycle route we ride, was a shame as since last Autumn it has been felled. However we saw this tree and the fruits look very much like limes (didnt know whether they grow in our climate) any one know what this is?
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Wisdom is not putting it in a fruit salad.
A few days ago there were hundreds of fruits on the tree - next day there were none. It happens every year.
The Essex squirrells time it to perfection!
What I don't get is where do they store them?? hundreds of fruits disappear overnight, there must be a huge mound of walnuts somewhere
Wisdom is not putting it in a fruit salad.
East facing, top of a hill clay-loam, cultivated for centuries (7 years by me). Birmingham
Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.