There exist some “Fit Tutorials” in ${ROOTSYS}/tutorials/fit/
which demonstrate how to fit several histograms or graphs simultaneously, e.g.:
${ROOTSYS}/tutorials/fit/combinedFit.C
;
${ROOTSYS}/tutorials/fit/fit2dHist.C
;
${ROOTSYS}/tutorials/fit/fitMultiGraph.C
;
${ROOTSYS}/tutorials/fit/TwoHistoFit2D.C