These things obviously change regularly, but I believe Britain's oldest woman is Annie Knight at 111 and our oldest man - who is also the oldest surviving veteran of World War I - is Henry Allingham at 110.
Not sure about the lady, but Mr Allingham is still completely compos mentis and recalls the First World War vividly. Indeed, he recently went to Europe to meet Germany's oldest survivor of that conflict. I see no reason to believe, therefore, that he cannot recall things from before that time, having been born in 1896.
However, I'd say the phrase 'in living memory' would require more than just one or two people to be involved in remembering. Nevertheless, I'd be tempted to say it stretches to a century.