Knowledge of the astrophysical {sup 18}F(p,{alpha}){sup 15}O rate is important for understanding gamma-ray emission from novae and heavy-element production in x-ray bursts. A state with E{sub x}{approx_equal}7.08 MeV in {sup 19}Ne provides an s-wave resonance and, depending on its properties, could dominate the {sup 18}F(p,{alpha}){sup 15}O rate. By measuring a kinematically complete {sup 1}H({sup 18}F,p){sup 18}F excitation function with a radioactive {sup 18}F beam at the ORNL Holifield Radioactive Ion Beam Facility, we find that the {sup 19}Ne state lies at a center-of-mass energy of 665.3{+-}1.7 keV (E{sub x}=7077{+-}2 keV), has a total width of 38.5{+-}3.4 keV, and a proton partial-width of 15.8{+-}1.6 keV.