In CameraRaw (I don't have Lightroom) Camera/Lens profiles are tied to the filetype. So, for example, your image is a JPG, CameraRaw won't show DNG/RAW profiles.
Suggestions: 1) if available, use the RAW file. 2) If it ain't, open the image in an editor that can save the file as a DNG, then do it. The lens profiles will probably be available then.