Not a snowdrop

When we came to view this house I exclaimed how big the snowdrops were only to be told by the then owner that were in fact 'Loddon Lilies' and only to be found in this part of the Thames Valley. I'm not sure about this last part and would be more than happy to hear if any of you blippers know different.
They stand about 1ft tall and have 3 or 4 flowers out of each stem.