So sorry for this late reply! Thank you, thank you! Hehe I think the linen stitch has a few names. Some calls it seed stitch too I think.
Here is the beret pattern that I am sort of following: http://www.oliveandbrook.com/2016/07/free-pattern-hadley-slouch.html
I am using a thinner yarn, so I am making more rounds first to grow the beret before moving on to shaping the forehead part. So far, I have not reached there yet :P