CeCo(InHg) is a charge doped variant of the -wave CoCoIn superconductor with coexistent antiferromagnetic and superconducting transitions occurring at T= 3.4 K and T=1.4 K, respectively. We use neutron diffraction and spectroscopy to show that the magnetic resonant fluctuations present in the parent superconducting phase are replaced by collinear -axis magnetic order with three-dimensional Ising critical fluctuations. No low energy transverse spin fluctuations are observable in this doping-induced antiferromagnetic phase and the dynamic resonant spectral weight predominately shifts to the elastic channel. Static ( 0.2 ns) collinear Ising order is proximate to superconductivity in CeCoIn and is stabilized through hole doping with Hg.

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