Blood Vessels and Nerves of the Hip. The sciatic nerve is located where it could get injured from a backwards dislocation of the femoral head. The nerves in the hip supply the various muscles in the hip. These nerves include the femoral nerve, lateral femoral cutaneous nerve, and obturator nerve.The obturator nerve is also responsible for sensation over the thigh. The sciatic nerve is the most commonly recognized nerve in the hip and thigh.lood Vessels and Nerves of the Hip. The sciatic nerve is located where it could get injured from a backwards dislocation of the femoral head. The nerves in the hip supply the various muscles in the hip. These nerves include the femoral nerve, lateral femoral cutaneous nerve, and obturator nerve.