Tilley Hat Model Numbers -- Is there a list somewhere?

So I know a few of the model/style numbers because I have the hats, but did Tilley ever publish a list?  Model, Brim Size, Description?

Here's my guesses: 

T1 = Tilley Model 1.  The Original Bucket Hat, Cotton Duck, still being manufactured. 

T2 = Tilley Model 2?  (Had a huge brim I think, Cotton Duck I think. )

T3 = Tilley Model 3?  Snap up brim, Aussie style.  Cotton Duck.  Still being manufactured. 

TH3 = Tilley Model 3 in Hemp.  Snap up brim, Aussie style. Hemp Material.  (Why not T3H?)

LTM3 = Light Tilley Mesh Model 3?  Snap up brim, Aussie style. Mesh Airflow Ventilation, Nylon. Still being manufactured. (My guess for what LTM stands for. Originally had a strange name for the material...nylantium? or something.  The mesh is referred to as "Airflow" in the descriptions.)

T4 = (Was there ever a T4?)

T5 = Tilley Model 5. Narrow-ish brim, Cotton Duck.  Still being manufactured. 

T5MO = Tilley Model 5 Mesh Organic.  Narrow-ish brim, Mesh Airflow Ventilation, Organic Cotton.  

LTM5 = Light Tilley Mesh Model 5? Narrow-ish brim, Mesh Airflow Ventilation, Nylon.

T6 = Tilley Model 6.  Wider brim than the T5.  Cotton Duck. No longer manufactured.

LTM6 = Tilley Model 6 Mesh Model 6?  Wider brim than the T5, Mesh Airflow Ventilation, Nylon.