There are several unexplained resonances in the charmonium sector. To this end we present a study of the masses and decay constants of the lightest multiplet of charmonium-like hybrid mesons. We obtain precise measurements through the use of a variational basis and a large number of configurations at three lattice spacings. We use staggered fermion operators and our configurations are generated using the HISQ action with 2+1+1 dynamical flavours. The mixing of the vector hybrid with the $\small J/\Psi$ is examined and bounds on the vector hybrid decay constant are presented.