DISCLAIMER: Your Steps and Tasks may be different
Your class determines the path you are given.
Started from Lauralaye in Tir Na Nog (though post NF speak with Lovernios) you go into Bri Lieth to talk to a sentinel to learn of information about Glory (the bow), he sends you get an arrow from a siabran archer (nocks encampment is easiest... directly across river from Ardagh) then take it to the enchanter in Bri Lieth, She asks you to get her the hoof of a faeire horse, get that by going about South East from town (up a hill near a set of tents, loc=35400 56700) then back to Bri Lieth. (Note on possible quest change: You may be told to look for Fearie Steeds, which can be found at loc 13k 57k Vally of Bri Leith. Another task may be to kill a Sett Youngling for its paw in Mount Collory (loc=31845,35465))
Now you are sent to an elf in Mardagh by the enchanter who tells you to find Tangua in Bri Lieth....
Tangua is a rare spawn in a set of huts behind the parthanan farm near Mag Mell, just follow the hill from Mag mell past the river towards the farm and you will eventually see it up on a hilly area (right behind a valley)... this area spawns 3 named Siogs! its main group is Siog footpad and Siog piller. He will spawn twice when he spawns for his cycle... you have a random chance of getting the item each time you kill him. (Note: You can find the named Siog in the huts right near the entrance of the mines in the Valley of Bri Lieth. kill the named until Tangua appears and you receive the item.)
After that you take the bow back to Tir na Nog and get the bow for finishing the quest.
After getting the arrow. I was sent to find a Mountain Mephit to get a rock of some sort. (Another task you may be given is to "seek Muadhnait (aka Mardaugh) "Elven weapon merchant that works at the shops on the road between Mag Mell and Tir Na mBeo")
Note: Rangers are the only class to receive an item reward (Siabrian Recurve Bow), other classes that complete this quest will receive some silver.