A list of areas where certain provisioning items can be found, and if they are owned/unowned.
These are areas I have found while I was leveling up my five provisioners. Most of them are low-level areas to appeal to the widest range of players. Please add other areas as you find them! All I ask is that we note if the items are owned or unowned as some have moral proscriptions against stealing while other, more...light-fingered folks, seem to prefer it.
Grahtwood
Sweetbreeze Cottage (Gray Mire Wayshrine) - a good number of carrots in the garden outside the cottage, containers, garlic, and others inside. Unowned once the quest in the area is completed.
Fisherman's Cottage (Cormount Wayshrine) - a few pumpkins on the ground by the bridge, unowned. Inside are fishing bait containers, owned.
Stonefalls
Ebonheart (Ebonheart Wayshrine) - the "Supply Shack" building down at the north end of the city by the Argonian district has many foodstuffs/containers, including jazbay grapes, white meat, game, beets, potatoes, seasonings and flour containers, as well as desks/dressers and a backpack. All is owned, but there are no NPCs to see you.
Sathram Plantation (Sathram Plantation Wayshrine) - Pumpkins everywhere ALL OF THE PUMPKINS. Unowned, but you have to be able to kill mobs that are leveled to the zone.
Glenumbra
Daggerfall (Daggerfall Wayshrine) - Rosy Lion Inn upstairs has lots of containers and food laying around (be sure to hit the attic too), but all of it is owned. However there are no NPCs up there to see you.
Stormhaven
Fisherman's Rest (Wayrest Wayshrine or Dro'dara Plantation Wayshrine) - Lots of containers, two backpacks for recipe farming, a couple of greens baskets, radishes, cooking fire on premises; nothing owned.
Coldharbour
Hollow City (Hollow City Wayshrine) - a provisioner's paradise; nothing is owned, lots of containers. Specialty areas include the guild kiosk wagons for cheese/poultry/fish, and the Argonian house for fish and beets. Many cabinet/dresser type containers for recipe farming.