Does Bilbo carry it?

Is it a tinderbox?

Person - no
Place - no
Object - yup
Geographical feature - no
Portable - yes.
Made by an Elf - very unikely.
Can you hide it in your pockets - sure, it would fit, if that's what you mean.
Carried by a character in LOTR - no
Appears in TH - yup
Does Bilbo carry it - not a chance!
Tinderbox - nope

Does a dwarf carry it?

Person - no
Place - no
Object - yup
Geographical feature - no
Portable - yes.
Made by an Elf - very unikely.
Can you hide it in your pockets - sure, it would fit, if that's what you mean.
Carried by a character in LOTR - no
Appears in TH - yup
Does Bilbo carry it - not a chance!
Tinderbox - nope
Does a dwarf carry that? - yes

Handkerchief? lol

Is it a musical instrument?

Does Thorin Oakenshield carry it?

Not the tinderbox? *pouts*
 

Thrain's map?

Handkerchief - no
Musical instrument - no
Thrain's map - no

Does Thorin Oakenshield carry it? - YES! :D

The key that came with the map?

They key that came with the map - no


Veeeeery close now. Not only this specific question, but the last few in general.

The map itself?

The map itself - no, I already answered that. For easier thinking, I'm posting all the questions and answers:

Person - no
Place - no
Object - yup
Geographical feature - no
Portable - yes.
Made by an Elf - very unikely.
Can you hide it in your pockets - sure, it would fit, if that's what you mean.
Carried by a character in LOTR - no
Appears in TH - yup
Does Bilbo carry it - not a chance!
Tinderbox - nope
Does a dwarf carry that? - yes
Handkerchief - no
Musical instrument - no
Thrain's map - no
Does Thorin Oakenshield carry it? - YES!
They key that came with the map - no

The chain around his neck that Thorin hangs the key on?

Persicely! :D

Splendid! I have thought of something. Off you go...

Person?

Place?

Person? Yes
Place? No

Is it a mortal?

Person? Yes
Place? No
---
Mortal? Yes

Is it a Man?

Is it a good guy/girl?

Is it a Man? I assume the capital M means that you are asking if they are the Race of Men. Yes,

Good guy/ girl .Yes

Was s/he born in the third age?

Born in the Third Age? Yes

Of Numenorian descent?

Of Numenorean descent? I had a premonition this would be next - No.

Does s/he live to the south of Isengard?

EDIT: just thought that one could travel on both sides of it. I want to change my question: Was s/he born south of Isengard?

Do you mean literally south of Isengard or south of a line drawn across the map at Isengard?

On a lattitude that is farther south, so the latter one.

Born south of Latitude of Isengard? Yes * (Most propably- almost certainly but this character's birthplace is not specified to my knowledge.

Is it a Rohirrim person?

Of the Rohirrim? Yes

Is it a man (not Man)?

He is both man and Man. :D

Was he alive at the beginning of the War of the Ring?

Yes he was.

Theoden?