I'm pretty sure, after reading several dictionary definitions, that the term "spirituality" has a fundamental undercurrent of being "spritiural" in the sense of having a feeling or idea of "more" and of a relation of one's consciousness with a greater aim or purpose and of a connection with other things in the universe, a oneness with the cosmos.
Unlike many other comments I've seen here and elsewhere, sprituality is real and pervasive in almost any culture. From the perspective of evolution, it is one of the things that creates contention while evolutionists try to explain something for which we apparently have no need for. The work of many scientists point to a special place in our brain (the "G" spot) that is significantly associated with "spirituality".
But, spirituality has nothing to do with religion because one can be spiritual and not be afilliated with any particular organization or institutionalized rites. Someone "communing" with nature in a deep and silent forrest or overlooking a vast ocean would experience the kind of spirituality that brings a kind of awe and even inspiration. God need not be present.
Religion, on the other hand, can usurp spirituality and often manipulates our spiritual tendencies for its own benefit. While religion sees spirituality as its venue, the opposite is not true. There are religious people with very little spirituality (they just need a label to walk around in life) and there are very spiritual people without any religion.