At first, she will be in the pond outside Ordon, washing Epona. Once she is taken, she will be found in the bar in Castle Town. Once she is relocated from there, she'll be in Kakariko Village.
give it back to ilia in kroke villge
No. No. NO! what even gave a idea she is bad?
You show your Dominion Rod to the lady in the Hidden Village.
you don't.
you wont be able to restore Ilia's memory until almost the end of the game
You will get it when you restore Ilia's memory.
Take it to Ilia in Kakariko village. in the building in front of the graveyard entrance....you know... the round one
After beating twilight princess you don't get anything.
There isn't an Outset Island on Zelda Twilight Princess only in Zelda Wind Waker and other ones.
Google "Zelda twilight princess game cube walkthrough"
He is the Master Bomb Maker in Zelda Twilight Princess
defeat ganon