Mornin' Steve.
You don't half come up wiv some questions. :wink:
UK
I'm no authority but first you must realise that different countries have different names for tools and the sizes of said tools.
Roughing gouge is normally used on spindle work only and is usually a forged blade. ie A flat piece of HSS forged to a U shape, they can be anything from 3/4" - 1 1/2" wide.
Spindle gouge is usually a ground out HSS bar, the ground out groove is almost the width of the bar and is quite shallow about quarter of the bar, and as it name implies it is used for spindle work only. Sizing a spindle gouge you use the bar size. ie 3/8" would mean a bar dia of 3/8".
Bowl gouge is a ground HSS bar but the flute is only about half the bar width wide, and can go as deep as 3/4s the way into the bar. This flute shape is designed to give the gouge strength to reach over the rest further without vibrating. Now come the confusing bit, when buying a bowl gouge you buy by size BUT you use the flute width #-o . So when you buy a 3/8" bowl gouge the bar dia. would be approx. 1/2" confusing I know but I believe that is how it is in UK. I think they have different ways of sizing gouges in the USA, but for ease stick with UK for now.
Some turners talk of 'roughing bowl gouges' to my knowledge there is no such thing (I stand to be corrected) but some do use expressions like this when giving demo's, probably cause it sounds cool. To them! Although a few will use a heavy gouge to rouge the bowl to shape, then resort to a smaller gouge for the finishing cuts, but to do this you would need a powerful lathe otherwise you could stop it taking aggressive cuts.
Once experienced you can use a spindle gouge on the outside of a bowl, and a bowl gouge when spindle turning, all with care. Roughing gouge only on spindle work, never on bowls!
PS the shape of the cutting tips on all these gouges are generally down to personal preference, and experience. Although with spindle gouges everyone says they should have a 'fingernail profile', to which I agree. Bowl gouges can have ground back wings (similar to a fingernail) or just a 45% bevel tip, but a ground back bowl gouge is not easy to use the first time.
PPS Don't forget there are not many turning tools which come pre-shaped and ready to use from the makers, they all need regrinding before use.
That's my little bit, hope it helps.