This sidequest is one that should keep you amused for a fair bit of time, first thing you need to do is speak to a lady named Belle in Fairfax Gardens. Upon accepting her intriguing quest you will be handed your first card.
Get your first note and go to Bowerstone Old Town, your dog will find out where this dig spot is right away, it should be in an alley just before an area with a large tree. Return to Belle once you get it for your 75 renown.
The next artifact you need to grab is fairly simple, go to Rookridge from Oakfield and your dog should sniff it out quickly, it's on a cliff near the abondoned building. You will have to fight bandits to get there. The reward for this note will be 100 renown.
Where the dead dwell? I hope you've alredy made your way to the Bowerstone Cemetery, if not go there and pretend I didn't have to tell you (joking). If you haven't completed a certain quest yet you will probably face an uncountable amount of Hollow Men (100 to be exact). Nevertheless, follow your dog down the path to a dead end where you will be able to dig up the artifact. Go back and collect your reward of 125 renown when finished.
If Belle has no more jobs for you after the ones above, you must progress in the story a little more.
When new quests become available go back and see Belle, read the note, and this one is a little tougher. If you can't figure it out then just say you could, and make your way to Oakfield where you will find an Ancient Scroll near the Temple of Light. Back to Fairfax Gardens for your 150 renown and another note!
Your next clue should point you in the direction of Bower Lake, this one is too easy, it will be buried in the middle of the Gypsy Camp. For this artifact you will get 200 renown points.
"There are contstant mentions in the old tets of a 'dense forest' that lies somewhere in the shadow of a tower". Hmm, well Brightwood is a woods, in turn is a dense forest, and I believe I've seen something called the Brightwood Tower before. I'm going to take a wild guess that we should go to Brightwood for this next artifact. Your dog will take you to the treasure as usual, it's near the river down a hill. Your reward for getting this is 250 renown.
Don't go just yet, Belle has another task. Her research will take you to Bandit Coast through Road. You'll have to fight lots of bandits here, obviously. Eventually your dog should take you to a spot just off the main path where you'll have to dig in front of a door. You might as well go inside, there is a chest and gargoyle in there. Then, bam! 300 renown.
Your next adventure will take you to the home of the Crucible, you guessed it, Westcliff. Your dog should take you down to the beach where you boarded the ship to The Spire. Your reward for uncovering this scroll is 350 renown.
This next one is actually a little interesting, since it isn't so obvious. You will have to travel to the Hobbe Cave in Rookridge then turn around and exit the cave. After you kill the Hobbes outside look to your right (facing away from the cave) and swim to the trail across the water. Follow the trail, you should run into a few Hollow Men, at the end of the trail there is the Gemstone Grotto. Once inside the Grotto your dig will sniff out the buried artifact. If you continue past where you dig the scroll you can find a silver key and a chest will 200 gold. When you return to Belle you will get 450 renown. By the way, this is your last adventure until you complete the main story.
When you complete the game more quests will open up from Belle, return to her whenever you wish. The note will tell you to go to a bured town called "Oakvale", which now goes by the title of Wraithmarsh. Travel to the Drowned Farm. There will be a Banshee fight right away, but you should probably expect that kind of thing from where you are. Follow your dog as usually, if you don't have your dog there will be a glowing trail as long as this is your active quest. For finding this artifact you will recieve 500 renown.
For the next note travel to the Bloodstone Water Front, from there your dog/trail should lead you to the yard behind "The Boudir". Return to Belle to recieve 550 renown.
Next you are to travel to the Guild Cave, fast travel to the Chamber of Fate and work your way backwards through the cave. You'll encounter nothing more than two swarms of Beetles as you are lead to the scroll. You will be awarded 600 renown when you return to Belle.
This next adventure will lead you to Reaver's Rear Passage, and since you've already been there you can fast travel to that exact area. Much like before you will be lead to the artifacts location by your dog or trail. It is fairly deep into the passageway and you will encounter Bandits and Hobbes. When you get this artifact go back to Fairfax Gardens, this time Belle will be in the excavation site, get your 700 renown.
You've found all of the ancient scrolls! With all of the scrolls discovered Belle can now open the passage uncovered in Fairfax Gardens, but she needs you to clear it for her. There will be a chest below guarded by two Spire Shards. Manage your distance and shoot at them with will abilities to defeat them. Remember not to let them get close to you. After you destroy them open to chest and recover "The Archon;s Dream". Belle will meet you in the area, she will offer you 50,000 gold for the precious gem. You can either give it to her for good points or take the evil path and keep it, it is worth 100,000 gold. If you choose to keep it you will have to kill Belle, thus earning evil points. Either way you will get 1000 renown.