Can anyone help to identify this pottery maker , please?

Difficult. To identify a maker from a mark that cannot be read (although a close-up might help) you need stylistic signs. Glaze a ubiquitous tenmoku. Unusual shape, unusual handle. Cannot quite see the pouring lip.

First and foremost a competent jug needs to be fit for purpose. Easy and balanced in the hand when full, easy to pour.When empty its got to feel right when grasped. The right balance, the right handling qualities as a Jug. How does it feel?

I’m afraid the photo is too overexposed to make out the mark. Can you try again, please

I think the mark is Julie Ayton’s. She does similar tall elegant jugs on her website.