Quite often, when we go to photograph a scene, we end up with an image (or even a few images) which don't really tell the story of your visit. I think it's important therefore, while capturing the main subject, to ensure you also look for the smaller details which make up the environment in which you find yourself. This can especially help if you are hoping to put together a body of work at a later date. The filler items can also be used to link the main images as you tell your story visually.
In the era of the digital camera we no longer have to worry about wasting precious film roll, although I'm not advocating that you simply become snap-happy !
Instead continue to think about your subject. Walk around it. Get up higher and down lower. Change your perspective. Go wide. Go in close. Consider textures, lines, light and colours. Stay in one spot and wait for something interesting to enter the frame, or rather enter the light. I think this will give your final image more impact and certainly help you connect more with your subject.
As an example two, reasonably abstract, images to accompany the main one (and the classic long exposure look that many people capture) of Houghton Mill.
Personally I actually feel a stronger connection with the first two than the last one, although altogether I think they tell the story of the Mill rather well.