  We present a novel strategy for the simultaneous measurement of Higgs-boson
branching ratios into gluons and light quarks at a future lepton collider
operating in the Higgs-factory mode. Our method is based on template fits to
global event-shape observables, and in particular fractional energy
correlations, thereby exploiting differences in the QCD radiation patterns of
quarks and gluons. In a constrained fit of the deviations of the light-flavour
hadronic Higgs-boson branching ratios from their Standard Model expectations,
based on an integrated luminosity of $5\,\text{ab}^{-1}$, we obtain $68\%$
confidence level limits of $\mu_{gg}=1 \pm 0.05$ and $\mu_{q\bar{q}}<21$.
