Horse/Pony riders/owners: What are these things called? (see pics)

[triciasurfer]

Hello, folks.

I inherited this. It's from a relative who used to own and ride horses. What do you call this thing? Thanks.

Click on thumbnail pic for better view.

239784

[black veils]

horse blanket/sheet it seems, i just googled it.

[Dragonbite]

It is a horse blanket, facing left.