In SrCr8-xGa4+xO19 antiferromagnetically interacting (θCW≊-500 K; θCW is the Curie-Weiss temperature) Cr ions occupy a two-dimensional Kagomé lattice. The ground state of Ising spins on this lattice is known to be disordered and to have a higher ground-state entropy than the triangular lattice. We have studied the magnetic fluctuations and short-range order in this highly correlated but disordered system by magnetic neutron scattering. We find (3)1/2×(3)1/2 short-range order (ξ≊6 Å) in the instantaneous correlations for T≲50 K. The magnetic fluctuation rate decreases with temperature and static correlations develop below Tg =8 K. The ground state, however, remains strongly fluctuating.