The MC refers to Carol Ray as "Miss Ray" in the game, which would be a darn funny way for a son to greet his mom IMHO.
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The idea that the MC, Carol and Hannah are blood related can be dismissed out of hand. Best to stop pining for incestuous content in this game, guys, because it 100% isn't present you'll be doomed to suffer disappointment after disappointment if you keep going up this blind alley. If you're not masochistic as well as an incest fetishist why keep torturing yourself over such a trivial matter unnecessarily?
Accept reality, enjoy the game as designed and move on.
You know it makes sense.