assist with reading this please
 

I would like to have someone assist with reading this marking on a finely decorated Kutani porcelain.
My sincerest thanks in fulfilling this endeavor.

It is read as "大日本 石川県：DAI-NIHON ISHIKAWA-KEN;Great Japan, Ishikawa prefecture" in the red back and "煙径" in the circle.

I'm not sure the letters in the circle and I asked some reliable people about this picture. Wait for the reply from them for some days.

I have got the answer from KUTANI-YAKI expert as "We have never seen this kind of work or something like that". They agree with for the letters in the circle as "煙径：ENKEI; smoke path" but they have no idea what it is.

I searched google for "煙径" to reach this page.

Sorry to say, I can not find the information about this work. I'm sorry.

I cannot thank you enough for your efforts to assist me.
I attach an image of the 2 vases that carry the mark shown to illustrate my desire to identify the artist.
It would be desirable to give acknowledgement to such a talented artist.

Could you show me the size of the vases? I supposed they are cup size. Are they 30 - 40 cm in height?

about 18 cm or about 7".

OK, I will ask them again.

Unfortunately, I have no reply from them so far. They seems to have no idea about the vases.