The Collaborative International Dictionary of English v.0.48:
Supererogate \Su`per*er"o*gate\, v. i. [imp. & p. p.
Supererogated; p. pr. & vb. n. Supererogating.] [L.
supererogatus, p. p. of supererogare to spend or pay out over
and above; super over, above + erogare to expend or pay out
money from the public treasury after asking the consent of
the people. See Super-, and Erogate, Rogation.]
To do more than duty requires; to perform works of
supererogation; to atone (for a dificiency in another) by
means of a surplus action or quality.
[1913 Webster]
The fervency of one man in prayer can not supererogate
for the coldness of another. --Milton.
[1913 Webster]