Those UTM coordinates do map to the western side of Uganda, using the WGS-84 datum. If you're using a different datum, then that might explain why you're not getting the expected results. Using an online coverter, the UTM coordinates translate to: +1° 21' 45.60", +31° 28' 22.60" and +1° 20' 42.00", +31° 28' 22.00" Dave Johnson