We investigate the effects of extra neutral gauge bosons on the high Q
(2) region of the e(+)p --> e(+)X cross-section at root s = 300 GeV. W
e found that the only models with electroweak strength coupling, typic
al of extended gauge theories, that give a better fit to the H1 and ZE
US high Q(2) data than the standard model, are ruled out by the existi
ng data from the Tevatron. From general scaling arguments, using the a
llowed contact interactions, the only allowed models with Z''s would b
e those with strong couplings although even in this case the statistic
al evidence is not compelling.