What stitch/pattern would produce a woven/ fishermen’s net like look??? Thanks!
This pattern has a few different mesh/woven type stitch patterns incorporated in it.
http://knitty.com/ISSUEspring05/PATTmeshbags.html
Ah! that woven/ looking pattern along the body of the bag looks about right. 
Hey, there!
Hope the following meets your needs… I can’t even remember where I learned it, but it is a great stitch that produces a really good-looking cloth.
CAST ON AN ODD NUMBER OF STITCHES
ROW 1: (RSF) k1, hold yarn in front of work, slip 1 knitwise - end k1
ROW 2: k1, p1, hold yarn behind work, slip 1 purlwise, p1 - end k1
REPEAT ROWS 1 & 2
Enjoy!!! 