Take care, the very highest saftey requirements must be fullfilled by your application, if it comes in contact to a baby!! For instance, you need a life support approval for the MOC3063.
I would highly recommend to use a separate circuit to read the temperature sensor and to transmit the signal galvanically isolated to your micro board. You could create a digital pulse train two times a second, fed into the UART via opto coupler.
Design this circuit to provide an analog signal of 0V at 20°C and 5V at 45°C, before it is fed into the ADC. Then even a good 8bit ADC might suffice and noise problems will play a much smaller role, than when connecting the sensor to a 16bit ADC, without any signal conditioning!!

This circuit can sit in the same enclosure as your micro board, but needs a separate mains transformer. Use a safety class II transformer (safety transformer) and keep this circuit totally separated from other circuitry.
Also, try to keep the temperature sensor being galvanically isolated to skin, to further decrease any risk of harm.

Kai