A topological property \(\mathscr {P}\) is reflected in continuous images of weight at most \(\omega _1\) if a space X has \(\mathscr {P}\) whenever every continuous image of X of weight at most \(\omega _1\) has \(\mathscr {P}\). When X is a generalized ordered space, we consider a number of topological properties including feeble Lindelofness and \(\kappa \)-monolithicity. In the final section we study small images of pseudocompact and countably compact spaces; we give a condition on continuous images of a pseudocompact space in order that it be compact and show that it is consistently true that a countably compact space of countable projective tightness is countably tight.