Calleva Outpost - 1
In the Arena part of Calleva Outpost is a big pit with stone shelves in it (screenshot).
Move them away and use the nearby oil jars to destroy the now revealed weak stone wall.
Use the shelves to parcour and get closer to the wall.
On the other side is another shelf you can move but you have to smash the pottery and boxes around it first.
Move the stone shelf away and you can get to the chest.
Reward: Drekar Shield
Calleva Outpost - 2
The Tungsten Ingot is carried by an Elite Bandit
The Chest is in the longhouse in the north of Chepeham.
It's in the part with the barred door, where you have to get to the other side in the story.
Climb up to the highest level. You can cross over to the barred area on the beams.
Here, on ground floor, you will notice that a big cargo bag is blocking the way up to where the chest is.
Climb up one level on the other side of the chest room and you can shoot off the cargo bag (screenshots).
Reward: Soldier's Flail
Clausentum Bandit Hideout - 1
The Clausentum Bandit Hideout is in the southeast of Hamtunscire.
The Tungsten Ingot is carried by a Goliath Elite Bandit.
Clausentum Bandit Hideout - 2
A bit further into the camp there are a couple of red tents with a lot of oil jars.
A weak stone floor wall is nearby. Use the oil jar to get to the chest behind the weak wall.
Dertemor Bandit Camp
The chest is inside a hut guarded by an Elite, who also has the key.
The chest is inside a little cave. The entrance is a barred door.
Go to the big structure above.
There is a weak stone wall on the floor.
Shoot the "chandellier" on top by climbing up.
Now you can go down into the little cave and shoot the door's barricade.
The Tungsten Ingot is carried by an Elite Soldier.
Isle of Wiht - 1
There is a unnamed camp in the south of the Isle of Wiht.
The Elite outside has a key. Take it.
Then climb the tower with the barred door. Smash everything to reveal the weak stone floor.
Now climb all the way to the top where the oil jars are.
Parcour a little with an oil jar so you can aim it to destroy the weak stone floor.
The key is for the chest down in the pit.
Isle of Wiht - Brerdinges Roman Ruins
Brerdinges Roman Ruins are in the northeast of the Isle of Wiht.
Look for the circle ruins in the water. You can climb up on top and dive into the circle.
Do so and dive towards the Wealth Chest. Inside the temple room, look for a collapsed statue.
You can dive through above and get the chest.
Reward: Death Skald, Bow
Readingum Abbey - 1
The Chest is in the northern part of the Abbey in a house with a wooden, destroyable door.
Readingum Abbey - 2
The Chest is in the northwestern part of the Abbey. It's a church building they use as storage area.
Readingum Abbey - 3
The Chest is in the inner area of the Abbey. To get inside you have to shoot down the two ropes of the bridge first, so the bridge is coming down.
This chest here is in the building to the west.
Readingum Abbey - 4
The last two chests are inside the main building that needs to be forced open.
This chest here is to the right when you come in. Easy access.
Readingum Abbey - 5
In the room of the previous chest are oil jars. Use one to open the weak stone wall on the other side.
Now you can loot the chest.
Runcwuda Abbey - 1
The Chest is in the south of the Abbey inside a small church. Door has to be forced open.
Runcwuda Abbey - 2
The Chest is in the east of the Abbey inside a small storage room. Door has to be forced open.
Runcwuda Abbey - 3
The Chest is in the upper part of the Abbey inside bigger church. Door has to be forced open.
Runcwuda Abbey - 4
This Chest is in the same building as the previous one but behind a barred door.
Go outside and scan for the red barricade you have to shoot.
Shoot one of the windows outside and then the barricade to get to the chest.
Pick up the key for the next chest in this room.
Runcwuda Abbey - 5
This Chest is outside of the last building. The small house with the locked door.
Unlock the door with the key and get the chest.
The Chest is in the Warehouse of Uffentune.
You can shoot the wooden ceiling inside the warehouse and climb up to a barred door.
The door's barricade can be shot from outside if you climb up the house and stand on the beam.
Werham Barracks are in the southern part of Werham.
The Tungsten Ingot is in a chest in the main house at the back of the Barracks.
The front door of the house is open, the chest requires 2 keys.
Key 1: The key is in the house west of the main building inside barracks grounds.
You can climb inside the house from the back. There is an open gap below the roof.
Key 2: From this house, you can reach the tower behind the main building.
Climb all the way to the top where you can destroy a wooden floor to get in.
The key is on the barrel next to the door.
West of Readingum Abbey, there is a house with bandits around it.
You can enter through one of the open windows. The chest in there is locked.
The key is in the east, inside a well close to the burnt out house (see key marker on the map screenshot)
Shoot off the wooden lid and climb down to get the key.