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Theres a sneak trainer in the Guide of Theives
Sneak: There's a sneak trainer outside of Whiterun, near the stables. I forgot her name but she and a pack of Khajiit camp there at night sometimes. Trains only up to level 50 however. They were travelers so I don't know how to make them spawn or how long you have to wait for them to spawn.
Alchemy: Archadian or whatever her name is in Whiterun's potion store trains alchemy.
Heavy Armor: One of the brothers in the Companion train heavy armor.
Amren (Whiterun, Amren's House)
Athis (Whiterun, Jorrvaskr)
Chief Burguk (Dushnikh Yal)
Torbjorn Shatter-Shield (Windhelm, House of Clan Shatter-Shield)
Vilkas (Whiterun, Jorrvaskr)
Njada Stonearm (Whiterun, Jorrvaskr)
Chief Larak (Mor Khazgur)
Gharol (Dushnikh Yal)
Farkas (Whiterun, Jorrvaskr)
Faendal (Riverwood, Faendal's House)
Aela the Huntress (Whiterun, Jorrvaskr)
Niruin (Riften, Thieves Guild)
Ghorza gra-Bagol (Markarth, Understone Keep or a Forge not far from the Keep)
Balimund (Riften, The Scorched Hammer)
Eorlund Gray-Mane (Whiterun, Skyforge or House Gray-Mane)
Dravynea the Stoneweaver (Kynesgrove, Braidwood Inn)
Tolfdir (College of Winterhold)
Colette Marence (College of Winterhold)
Danica Pure-Spring (Whiterun, Temple of Kynareth)
Drevis Neloren (College of Winterhold)
Sergius Turrianus (College of Winterhold)
Hamal (Markarth, Temple of Dibella)
Runil (Falkreath, Hall of the Dead)
Phinis Gestor (College of Winterhold)
Falion (Morthal, Falion's House)
Wuunferth the Unliving (Windhelm, Palace of the Kings)
Sybille Stentor (Solitude, Blue Palace)
Faralda (College of Winterhold)
Lami (Morthal, Jorgen and Lami's House)
Arcadia (Whiterun, Arcadia's Cauldron)
Babette (Dark Brotherhood Sanctuary)
Khayla (Caravan, Salvius Farm Exterior)
Garvey (Markarth, The Warrens)
Delvin Mallory (Riften, Thieves Guild)
Scouts-Many-Marshes (Windhelm, Argonian Assemblage)
Grelka (Riften, Haelga's Bunkhouse or Market)
Nazir (Dark Brotherhood Sanctuary)
Ra'zhinda (Caravan, not far from Windhelm Main Gate)
Ma'jhad) (Caravan, not far from Windhelm Main Gate)
Vex (Riften, Thieves Guild)
Silda the Unseen (Windhelm, near Palace of the Kings)
Vipir the Fleet (Riften, Thieves Guild)
Dro'marash (Dawnstar, Caravan, Western Mine Exterior)
Revyn Sadri (Windhelm, Sadri's Used Wares)
Ogmund (Markarth, Ogmund's House)
Giraud Gemane (Solitude, Bards College)
bump for anyone interested
There are so many differently spelt names on all the lists I've googled that I can't be sure which list has the more accurate names...short of going in the game.
If nothing else, this list might help you to match up the trainer rank to the names given in this thread.
This one might be a great deal of help, too: http://nerdtrek.com/skyrim-combat-skill-trainers/
Here's the text from the latter link:
Combat Skill Trainers
Find Hermir Strongheart in the Windhelm.
Find Gharol of Dushnikh Yal in The Reach.
Find Farkas of The Companions in Whiterun.
Block Skill Trainers
Find Njade Stonearm of The Companions in Whiterun.
Find Larak of Mor Khazgur in The Reach.
Find Torbjorn Shatter-Shield in Windhelm.
Find Vilkas of The Companions in Whiterun.
Find Amren in Whiterun.
Find Athis of The Companions in Whiterun.
Find Burguk of Dushnikh Yal in The Reach.
Find Faendal in Riverwood.
Find Aela the Huntress of The Companions in Whiterun.
Find Niruin of The Thieves Guild in Riften.
Find Ghorza in Markarth.
Find Balimund in Riften.
Find Eorlund Gray-Mane in Whiterun.
Stealth Skills Trainers
Find Khayla at the Khajiit Caravans.
Find Garvey in Markarth.
Find Delven Mallory of the Thieves Guild in Riften.
Find Majhad at the Khajiit Caravans.
Find Vex of the Thieves Guild in Riften.
Find Ahkari at the Khajiit Caravans.
Find Silda the Unseen in Windhelm.
Find Vipir of the Thieves Guild in Riften.
Find Revyn Sadri in Windhelm and Dro’marash at the Khajiit Caravans.
Find Ogmund the Skald in Markarth.
Find Geraud Gemaine of The Bards College in Solitude.
Find Lami in Morthal.
Find Arcadia in Whiterun.
Find Babette in The Dark Brotherhood Sanctuary.
Light Armor Trainers
Find Scouts-Many-Marshes in Whiterun.
Find Grelka in Riften.
Find Mazir in the Dark Brotherhood Sanctuary.
Magic Skills Trainers
Find Melaran in Solitude.
Find Dravynea of Kynesgrove in Eastmarch.
Find Tolfdir of the College in Winterhold.
Find Runil in Falkreath.
Find Phinis Gestor of the College in Winterhold.
Find Falion in Morthal.
Find Wuunferth the Unliving in Windhelm.
Find Sybille Stentor in Solitude.
Find Faralda of the College in Winterhold.
Find Sergius Turrianus of the College in Winterhold.
Find Hamal in Markarth.
Find Atub in Largoshbur in The Rift.
Find Drevis Neloren of the College in Winterhold.
Find Keeper Carcette at the Hall Of The Vigilant and Colette Marence of the College in Winterhold.
Find Danica Pure-Spring in Whiterun.
As you can see, the other guy's list has more detailed locations but this one has the trainer's expertise. Use both and find whoever you want!
Anyone able to get to Find Hamal in Markarth and get her to train you?
All I managed to do is piss her off after unlocking the inner sanctum.
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