How to Convert Property Survey Monument Marker Coordinates to State Plane?

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I have a set of Connecticut monument locations (a monumented property survey using monuments designated CGS Mon. No. 1577-1580). Their coordinates appear to me to be in meters (244536.84 N, 386409.67 E). I need them in CT State Plane feet (correct values should be approx.746000 N and 786000 E). Simple meters-to-feet misplaces them, as does creating them in UTM and re-projecting to state plane. The original data specifies no coordinate system or datum. Everything I can find online anticipates the markers will be in geographic coordinates, but they're clearly not. Does anyone know what these generally start in or how to convert them?



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