SW is right on the money. You don't "try" to hatch an egg "hopeing" that it will live but "knowing" it probably won't. Pigeon babies aren't chickens. They're every single need is dependant on the parents. Without them, they die. Period. Your best bet is to return the eggs and let mother nature take it course.I would go take the eggs back, sometimes they leave to eat and drink, so you stole those eggs from them. so to have any chance of surviving they need to be left in the nest. if you feel they are in danger you can check on the babies if they hatch that is, and hand feed them if need be. but always leave wild bird eggs alone. JMO
I know you're heart is in the right place and that's wonderful, but in this case, that won't keep two baby pigeons alive, IF they were to hatch.