Hi richrab, when you go to Control Panel>Programs>Programs and Features, look for BlackBerry Device Software v7.1.0 for the BlackBerry 9900 smartphone look for prior versions which you won't need, and delete them.
For anyone who wishes to find where these file folders, they are located in your Windows PC, look for (C: )>Program Files>Common Files>Research In Motion>Shared>Loader Files, here are the folders which contain the BlackBerry OS.
When you delete the BlackBerry OS from Add and Remove, these folders should be gone as well, but in case they are not, look for them above, which I have provided for you.
Also, if anyone needs the latest BlackBerry Desktop Manager Software version 7.0.0, look below;
BlackBerry Desktop Software for PC
Thank you.