Pulmonary hypertension Group 2 (PH 2) associated with left-sided heart disease is relatively common, is associated with a poor prognosis, and unfortunately there are no proven medical treatments beyond attempts at correcting the left sided heart disease. Many PH 2 patients have evidence of active constriction of blood vessels from increased nerve traffic. Use of agents or procedures which produce a reversible chemical blockage of this nerve traffic have not been systematically tested in PH 2. The investigators will test whether acute interruption of sympathetic nervous system tone, which local anesthetic block of the stellate ganglion in the neck, will improve PH2, and also test whether the high blood pressure drug reserpine, which blocks sympathetic nerve activity, will do so during a one month trial period.