Just adding some picture comparisons:
The first vase is a link to the Dudley museums Webb Corbett Agate Flambe vase.
http://blackcountryhistory.org/collections/getrecord/DMUSE_BH2949/When that link pic is enlarged it can be seen that my purple bowl is a direct match for the decor (see more pictures I've added of the other side of the bowl)
I've also added a wide photo of the base of my bowl. In certain lights the colours (as in the previous pictures I've added here
http://www.glassmessages.com/index.php?action=dlattach;topic=58232.0;attach=164394;image) look more pale bluey (lilac in real life) and are a match for the base shot of your bowl.
The new bowl that will hopefully arrive in the next few days is a direct match for the shape of my purple bowl here. There is no question it is the same maker and I believe also an 'Agate Flambe' bowl. But it has a white interior and the colours appear much more bright pastel because of the interior of the bowl and the pale yellow casing.
I've also added the best pics I can of the pale yellow casing on my purple bowl.
I am sure your bowl is by Webb Corbett and is the same decor but in the pinky purple colourway -
as can be seen in this one in the Dudley Museums collection but it's a terrible photograph ... it just doesn't have the white interior as yours does.
http://blackcountryhistory.org/collections/getrecord/DMUSE_Pac154/m