Lost and Found office

[tzfujimino]

Dialogue 1
Mr. P: Oh, no! I left my jacket on the train.
Tz: Don't worry. You'll find it at the Lost and Found office.

Dialogue 2
Mr. P: Oh, no! I left my jacket on the train.
Tz: That's too bad. Let's ask about it at the Lost and Found office.

Do they sound natural?
(Should "the Lost and Found office" be "the lost-and-found"?)

 

[tedmc]

Apparently, such a facility in public places are written without the hyphens, though it does not follow grammar conventions.

 

[Tarheel]

Dialogue 1
Mr. P: Oh, no! I left my jacket on the train.
Tz: Don't worry. You'll find it at the Lost and Found office.

Dialogue 2
Mr. P: Oh, no! I left my jacket on the train.
Tz: That's too bad. Let's ask about it at the Lost and Found office.

Do they sound natural?
(Should "the Lost and Found office" be "the lost-and-found"?)

It's usually just called Lost and Found. And you're really lucky if your lost item winds up there.