After you have talked to "Gandahar" by the goat cave in the main quest, you have an option of which of the four "relic" stones to acquire first. Here are the locations and the quest.
Air relic stone
Location: Drak'ar desert
Quest: The Dragon Whisperer
Ali tells you that you have to find the White Dragon's lair. Head south, through the mountain pass (look at the map to the left). There are numerous stone golems and other monsters along the way. When you reach the lair, you will see the Air stone. Grab it. If desired, you do not have to follow the quest any further. If you do, go back to Ali and tell him what you found out. He will mark a new location on your map. You will be able to see that the other dragons deal with their former oppressor. Go there and get the dragon scale from the White Dragon's body. It is a great alchemical ingredient.
Water relic stone
Location: Ashos
Quest: Find Hoko/Hoko's Sister, Find The Healer, or Find The Scholar/Look In The Temple.
Find Hoko/Hoko's Sister
This quest is given to you as soon as you enter the city. Hoko will be immediately marked on your map. Talk to her and you will learn that her sister is missing. Go to a local blacksmith, Uchinao Sakomoto. He can give you the key to the temple, but he first wants you to get rid of her greedy sister Hidee. Visit her in her house and agree to carry her father's will to the mayor, Masakore Murata. You now have to finish his side-quest in order to advance this quest line.
Find The Healer
Masakore needs a cure from a healer who lives outside the city. Pay her a visit (follow the map marker). She also has a request for you. You are to eliminate a group of insects that spawned on her field. They are at the end of the path leading to the south from her house. Kill them all, then collect the cure, then take it back to the mayor.
Go to the back of the mayor's house and pick up the red dress that you see there. Take it to Hoko as a proof that her sister has been killed by the mayor, who is actually a werewolf. Go to Yorun (the city guard by the gates) and you will learn that Hoko killed the mayor and ran away. Go to the teleport outside the city and talk to her, then go back and talk to Yorun once more. Note: The unfinished plot of a blacksmith and his sister can be dealt with by killing Hidee. If you do not want to do that, you can obtain the temple key by following Hajime Masaware's quests (shown below). Just remember to collect your reward for carrying the will to the mayor.
Fire relic stone
Location: Gor Gammar
Quest: Find a relic fire stone
There are three ways to get into Gor Gammar: using the Orc Camouflage Armor (quest from Cathalon), using the necromancer's bomb (Asmohar's quests shown above), or fighting your way through hordes of orcs. Only the bomb will let you enter through the main gates (just approach them and it will be activated automatically). For other options, you must go a few steps along the city walls to the east and find an entrance to a tunnel. The Fire stone is in the center of the city (look for a map marker). If you are using camouflage, you can just approach it and take it without raising any alarms. Entering the city by force is both troublesome and boring. There are countless numbers of orcs here and it will take a lot of strength and time to slash through them. You should probably decide on either camouflage or the bomb. Note: If you visit Asmohar after detonating the bomb, you will meet a paladin who will tell you what happened to the necromancer
Earth relic stone
Location: Windbreak Village
Quest(s): A series of quests that the captain there gives you: Caravan, Orc Encampment, White Head
Carvan
Hograd wants you to find a caravan that was lost somewhere along the way to Cathalon. You will find it on the main road. Tell Hograd and he will give you another task.
Orc Encampment
You must destroy an orc encampment north of Windbreak. This quest is simple; just go there and kill every orc in sight. White Head will not be among them, and therefore Hograd will have another mission for you.
White Head
It is time to finally get White head. His hideout is east of Windbreak. You will find it as a hidden entrance to king's tomb. White Head himself will greet you there and propose that you take his message to Hograd. Go to Windbreak and back to the tomb. White Head will grant you passage through the dungeon to the king's burial place. In there, you will find the Earth stone (required for completing the main quest) and a false crown (required for the "Satrius' crown" quest from Windbreak).
Note: When you come back from getting the Water relic stone in "Ashos", all the people are dead. However, if you have the "Resurrection" spell, equip it and bring everyone back to life. They will work and help protect the city.