One hundred and ninety-two small earthquakes which occurred recently near the southern edge of Long Valley caldera at depths from 1 to 13 km are used to map the subsurface geometry of magma bodies in the caldera. Seismograms of these events recorded northwest, north, northeast, and east of Long Valley with ray paths through the caldera are often anomalous in that S-wave arrivals are absent and high frequency P-wave energy is missing. These anomalous ray paths intersect in an area of the south-central caldera which we interpret to be a region of molten or partially molten rock. This magma body lies between about 4 1/2 and at least 13 km depth and is 10 km long by 5 km wide beneath 7 km. The magma appears to be relatively contiguous below 7 km and more dispersed above. Another magma body may be present in the northwest caldera coincident with an interpreted 7-8 km deep reflection from the top of a magma chamber.