Lighted reading glasses are provided to enable clear reading of normal sized text to occur when the reading material is held at usual distances from the reader in dimly lit or dark locations. The lighted glasses have high intensity lights, such as in the form of LEDs that generate narrow light beam cones and which are oriented via light mounts as by inward canting of the light beam cones to meet and overlap so high brightness light is generated in a conical overlap area of light which is maximized in size in the range of normal reading distances. The light mounts include housings that are very compactly sized via the use of small coin cell batteries for powering the LEDs they hold. The housings are tapered from their maximum width sized to be slightly larger than the diameter of the disc-shaped cell batteries to either end thereof along their length, and have a depth sized to accommodate two of the stacked very thin, e.g., one-eighth of an inch each, coin cell batteries. In this manner, a very small and compact light module is provided that, while especially well-suited for reading glasses due to the preferred inward cant provided by light mounting surfaces of the housing to tailor the location of the overlap lighted area to the reading area, can also be used with other types of head gear, such as caps or other types of hats.