Hello Gem,
My first thought on seeing your first two pics was "that looks like it could be Gray-stan". If you go to my site (see below) and click on 'Glass to buy', then, 'English', then 'Gray-stan', you will see a couple more images of the cloudy ranges, as well as a description of how the cloudy pieces were made.
The pontils to your pieces will be markedly similar to those of pre-war Nazeing; that is, they will be ground and polished, but not necessarily a good round shape - sometimes almost kidney shaped. There may even be the remains of a break mark from snaping off the ponty rod.
As for the ground rims, the bowls look as though they could be from a dressing table set and therefore I would expect there to be lids. Since these have, to my knowledge, never been recorded we don't know whether they should be matching glass, or metal. If metal, they could be chrome, or even (possibly) silver - but this is suposition on my behalf. Lids might also explain the ground rims, as art glass rims might not be level enough to take a lid. This certainly happens with the Powell 'cloudy' range powder boxes.
What makes me think Gray-stan is the apparent swirling of the colours, which is a known Gray-stan characteristic, but not one for Nazeing - also the white enamelling should be quite/more apparent to the inside of the vessel.
Nigel