I'm not sure if a twink can get this item anymore. The reason I say this is because Blizzard changed the amount of XP needed to level from 1-60 and I believe this decrease has made this chain ding you.
According to various WoW information websites the experience you gain from completing this chain is 1950, 2000, 2100, 2100, 2300, 2450, 8100 (this last number I have not confirmed), which adds up to 21,000, and since it only takes 19,500 to ding from 19 to 20, it seems like it is impossible to complete this chain. If the 8100 is incorrect and it is something lower, say 2600, that still totals up to 15,500 leaving you about 4000 to spare, but you still have to kill all the mobs for this quest.
A high level doing all the killing for you while grouped will net you between 17-25 XP per kill, depending on the level of the mob. At one point you have to go into a mine and kill a lv30 mine foreman.
This leaves VERY little room to accomplish this chain, if it is even any longer possible.
If you have not yet dinged 19, I would recommend that you explore the entirety of the hillsbrad area before beginning because at lv19 you will get about 150 XP per exploration in the area, and if you have no XP breathing room, discovering the town, the mine, and any other accidental places will definitely ding you by accident.
I have a 19 paladin who I was trying to get this for, but I think its too risky to attempt to complete this chain. If that last quest really gives 8100 xp, it will be guaranteed to ding you from 19 to 20 no matter what. Again, I have not confirmed it actually does give that much, but just be very careful if you go after this because you could end up wasting all your time invested in the character.