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