Just looked it up in "Swedish Glass Factories - Production catalogues".
It's exactly as you described it, in the 1962/3 catalogue.
The B is the fish, same vase with A has instead a "medusa" - jellyfish ?
LG (engraved) only have three numbers, you get 4 numbers with the LH bits.
height of both is 175 mm (6.8") - but being handmade I'd expect a bit of variation in height.