First let me explain the word Dove, All pigeons/Doves we see today came from one Breed, The Rock Dove, all breeds of Pigeons are from the Dove Family hence the name Dove Cote, the Dove Cote was invented as a answer to encourage the Dove/Pigeon to home elsewhere other than in the farmers barns/sheds, they were place along fence rows out in the field, also the farmer could remove eggs as to keep there population under control without having to kill the birds.
Breeding, breeding happens when the Pigeon/Dove decide the conditions are right, first, Location, next, Ample food supply to support there offspring, next, weather conditions, Pigeons will not mate during the cold months unless there is a heat source, they will lay only 2 eggs per clutch, if the weather is warm enough the hen will lay 2 more eggs before the previous babies are weined, The cock will assume all the duties of fledging the 2 babies while the hen sits on the new eggs.
The Dove (a breed of the rock dove) is not a good Homing Pigeon.
The Pigeon (a breed of the rock dove) is by all means a great Homing Pigeon if trained properly.
You have netted your doves to allow then to learn there surroundings, (good job) however you done this with DOVES.
Fantail Doves at that, these are show Pigeons, best to keep them caged and enter them in Show Exhibits.
If you trully want to free fly Pigeons, find and buy some Homing Pigeons and train them as you have done with the Fantail Doves, you will get a much better results, matters not if they are sitting on eggs, yes it does matter if they are happy, Happy is ample room to nest,Plenty of food and fresh water, Ample Room this means the cubicals in the dove cote must be 1 ft square in size, 12 inches high, 12 inches deep, 12 inches wide, per each cubical.
I admire your desire to keep such beauty within your world, the Pigeon is trully a wonderful bird and very intelegent, you are on the right track, however you need to get the right breed of Pigeon to have success.
I have been the keeper of Pigeons for 17 years now, I am a wildlife/Pigeon rescue & rehab person here in the USA, I am Moderator & In field rescuer for 911pigeonalert, if you want to learn more about the Pigeon please go to Yahoo, click on Groups, type in Brokenwingpigeonrescue and join my group of pigeon fanciers.
Take Care.
Arty/BrokenWing