How much CO2 is emitted by burning coal to produce 1 kWh of energy
The value from EIA is pounds of $\ce{CO2}$ produced per kWh of thermal energy produced, while those from the latter two sources are pounds of $\ce{CO2}$ produced per kWh of electrical energy produced.  Since the thermal efficiency of coal-fired plants is ~37% (~37% of the coal's thermal energy is converted to electrical energy), converting the EIA figure to pounds of $\ce{CO2}$ produced per kWh of electrical energy produced gives us:

$$ 0.735 \frac{\text{lbs }\ce{CO2}}{\text{kWh thermal energy}} x \frac{\text{1 kWh thermal energy}}{\text{0.37 kWh electrical energy }} = 1.99 \frac{\text{lbs }\ce{CO2}}{\text{kWh electrical energy}}, $$

i.e., about the same as the NY Times and shrinkthatfootprint figures.