In the course of our on-going search for serendipitous high-redshift Ly \alpha emission in deep archival Keck spectra , we discovered two Ly \alpha emission line candidates in a moderate dispersion ( \lambda / { \Delta \lambda } \simeq 1200 ) spectrogram . Both lines have high equivalent width ( W _ { \lambda } ^ { obs } \geq 450 { \AA } ) , low velocity dispersions ( \sigma _ { v } \sim 60 ~ { } { km s } ^ { -1 } ) , and deconvolved effective radii r _ { e } \approx 1.0 h _ { 50 } ^ { -1 } kpc . Their sizes and luminosities are suggestive of the primeval galaxy model of Lin & Murray ( 1992 ) , based on the self-similar collapse of an isothermal sphere . We argue that the line emission is Ly \alpha , and it is stellar in origin . The sources are consistent with being primeval .