I don't think you can find any family crest connected to the Storlie surname. Storlie as a family surname was established when they emigrated. Storlie was the address.
Common Norwegians did not use family surnames at that time.
Tov Gregarsen Storli in 1865 census: http://digitalarkivet.arkivverket.no/ft/person/pf01038150002...
That means: Tov, son of Gregar, from Storli farm.
Some farmers had a "bumerke", a simple sort of logo: http://no.wikipedia.org/wiki/Bumerke
. It was not very common.
But you might find nice handpainted "rosemaling" (google it!). Storli is in Vinje, Telemark, where there was a lot of "rosemaling".