Hatching-tide question

[Jinko]

Ok first take a look at this, there are many more eggs in the dat files.

http://ffxiv.yg.com/items?f=s=Egg;c=6.2.9

To complete the quest from each city you must discard the current Pristene Egg Cap as the NPC will say something like "you are greedy, we can only give each person 1 egg cap" etc

I'm unsure if you are able to actually hold more than one Unique item in this game.

I'm still unclear how to get the other eggs which I am guessing must be related to getting the other caps, of course this could be timed content or it could just be that the other eggs are very rare, although if that is the case surely someone would have got one by now.