In a paper by P.B. Hawthorn and D.J. DeWitt (1982) the projected performance of several proposed database machines was examined for three relational database queries. The present authors investigate the performance of a massively parallel machine called NON-VON for the same queries under comparable assumptions. In the case of simple queries, a NON-VON machine of comparable size to those considered by Hawthorn and DeWitt is found to be somewhat faster than the fastest machines examined in their study; for a more complex database operation, NON-VON is shown to be five to ten times faster than the fastest of these machines.