The 1(10)-1(01) transition of C3HD was detected at 19.418 GHz at twelve positions in cold, dark clouds, and the D hyperfine components were resolved in two sources (L1498 and TMC-1C) well enough to derive values for the D quadrupole coupling constants. Simultaneous observations of C3H2 in each source yield relative integrated line intensities in the range 0.10-0.18, from which relative C3HD/C3H2 abundances in the range 0.05-0.15 were derived. These are among the highest deuteration ratios yet observed. Within the limits of the observational and modeling uncertainties, it is possible to explain the derived C3HD/C3H2 ratios by ion-molecule chemistry if e is equal to about 3 x 10 to the -7th.