 The courses of the rivers Parrett , Somerset Axe , Brue and Cary run across the Somerset Levels and have generally been changed to improve the flow . The River Axe rises from Wookey Hole Caves , due to water draining into the ground at swallet holes on top of the Mendips . The river passes through Panborough Moor , Wedmore Moor , Ox Moor , Stoke Moor and Mark Moor and reaches the sea at Uphill ( near Weston @-@ super @-@ Mare ) on Bridgwater Bay . 
