Hope I wasn't too complicated!

The foolproof names based on size and sensible pitch for the size are (going down):

Mandolin

Mandola

Octave Mandolin

Mandocello / Bouzouki

Mandobass

ends

'Tenor Mandola' is wrong by any definition.

'Tenor Mandola' is wrongly applied to Mandola, Octave Mandolin and even Mandocello.

'Octave Mandola' is wrongly applied to both Octave Mandolin and Mandocello.

So

Avoid, or question when buying, both 'Tenor Mandola' and 'Octave Mandola' and you'll be ok.

The US generally get it right. The UK generally get it wrong, I believe because someone back in the 60s got it wrong and everyone over here copied them.

Buy from Malcolm Newton, he knows his strings and his Mandolins.

Tom