A journalist's primer on a few military terms

"Soldier"  is not the correct title for everyone who wears a uniform in the U.S. Armed Forces.  Many journalists however, may think it is.  While listening to tender story about a corpsman that died in Afghanistan recently the reporter for Oregon Public Broadcasting kept referring to him as a soldier.  No, he's not a soldier, he's a sailor.  It hasn't been the only time I've heard or read news where the journalist has miss-titled military personnel.  How long have we been at war?  Can't we get this straight by now?    So here's a primer: (at least the way I understand it to be).

• Soldier = Army
• Sailor = Navy
• Marine = Marine Corps
• Airman = Air Force
• Guardsman = National Guard (who also can be Soldier or Airman depending on being in the Army National Guard or the Air National Guard)
• Guardians = Coast Guard (I just learned this today, or they can be referred to as sailors too I guess)

Seems pretty simple, right?  But I can't tell you how many times I have heard or read something like "Soldiers from the 1st Marine Division entered Tora Bora today".  No, there isn't any soldiers in the 1st Marine Division ... There's a whole lot of Marines in the 1st Marine Division however. 

The story about the lost corpsman probably confused the reporter additionally because he was a sailor among Marines, what?  Yes, Sailors serve as the medics for the Marines.  Because, well as many people don't realize the Marines are part of the Navy.  They also don't have their own medics; instead they use Navy Corpsmen (Hospital Corpsmen).  The Army does have their own Medics, they are called ... medics.  These Medics are actually soldiers, because ... They are in the Army.  Remember, Army = Soldier? ANYway ...

• Medic = Army
• Medic = Air Force
• Corpsman = Navy, Marines
• Corpsman = Coastguard

Also the term "Troops" is thrown around a bit.  i.e. "we support the troops" etc.  Technically a Troop is unit of Cavalry on the same scale as an infantry company would be.  But "Troops" seems to be common endearing nomenclature for all military personnel.  I'll let that slide.
Thank you, At ease.