  We consider paradigmatic quenched disordered quantum spin models, viz., the
XY spin glass and random-field XY models, and show that quenched averaged
quantum correlations can exhibit the order-from-disorder phenomenon for
finite-size systems as well as in the thermodynamic limit. Moreover, we find
that the order-from-disorder can get more pronounced in the presence of
temperature by suitable tuning of the system parameters. The effects are found
for entanglement measures as well as for information-theoretic quantum
correlation ones, although the former show them more prominently. We also
observe that the equivalence between the quenched averages and their
self-averaged cousins -- for classical and quantum correlations -- is related
to the quantum critical point in the corresponding ordered system.
