In the paper ``A Search for Nontriggered Gamma-Ray Bursts in the BATSE Database'' by Jefferson M. Kommers et al. (ApJ, 491, 704 ), the values of <V/Vmax> that include on-board-triggered bursts are incorrect. Owing to a programming error, whenever a value of Cmin was available for a burst listed in the 4B catalog, that catalog value (appropriate for the on-board burst trigger) overwrote the value appropriate for our more sensitive off-line search. Thus the values of V/Vmax were overestimated by a factor of ~23/2 for the bursts that were triggered on board. This error does not affect the values of Cmax/Cmin and Cmin for the nontriggered gamma-ray bursts (GRBs) listed in Table 3, nor does it affect the value of <V/Vmax>=0.28+/-0.03 computed for the nontriggered (only) GRB sample.The correct value of <V/Vmax> for the on-board-triggered bursts detected by our off-line search is <V/Vmax>=0.13+/-0.02. For the combined nontriggered GRB candidates and on-board-triggered bursts, <V/Vmax>=0.18+/-0.02. This value is significantly lower than the value <V/Vmax>=0.33+/-0.01 obtained from the 3B catalog. These corrections, therefore, significantly strengthen the conclusion of the paper: that the BATSE on-board trigger has not missed a significant population of faint gamma-ray bursts owing to the biases inherent in the on-board burst trigger mechanism.