fresh produce market near Kiyosumi/Morishita?

Can anyone suggest a fresh produce market near Kiyosumi/Morishita area? We are staying there for 3 days in February and are strict vegan so would love to find a farmers market in the area but have google searched to no avail (sad face!) Thank you!

Yama shokudo
Fully it is not a vegan, but seems to be selling vegetables also.
http://tabelog.com/en/tokyo/A1313/A131303/13124125/
Genki-tei
Here not even completely vegan, but seems to be selling vegetables also.
http://tabelog.com/en/tokyo/A1312/A131201/13002985/
Here also please refer to.
http://japanvegan.blogspot.jp/2013/07/vegan-groceries-in-tokyo.html
http://www.happycow.net/asia/japan/tokyo/

Thank you so much for your reply. However, these links seem to be restaurants rather than produce markets or shops where we could buy fresh vegetables and prepare meals ourselves. Are there any grocery/ vegetable/fruit shops in the Kiyosumi area?

If you do not particularly care about the natural food, you can buy vegetables and tofu, soy milk, and more at the supermarket.
Maruetsu Kiyosumishirakawa shop
4-3-1-101 Shirakawa, Koto-ku, Tokyo
9:00 to 22:45
Life Kikukawa shop
1-18-5 Sumida-ku, Tokyo Kikukawa
9:30 ~ 24: 00

Thank you again so much. That sounds like where we can get our fresh vegetables :-) :-)
I had a look on google earth but can't understand the address and numbers . For example there seems to be two Sumida roads and they are very long! Could you explain how the numbers work or explain exactly where the supermarkets are? Thank you again - really appreciate your help.

Japan doesn't use road names in their addresses, and the system can be a bit overwhelming even for residents. The easiest way is to input the addresses into google maps. I checked both already and they both come right up.

Oh wow! yes they do!!! Thank you so much - now I feel just a little more confident in my first ever visit to Japan. Still feeling a little overwhelmed though! Thanks again for your help.