Guri Pedersdatter Turhus

I am trying to find the name of the ship on which my grandmother Guri Pedersdatter came to America. And. I woul;d like to know her destination in America. She came with one of her brothers, Arne Pedersen I think, in 1883 or 1884. Both dates appear on later census. Both brothers came to the States but at separate times. One census for Ole or Oley shows his arrival as 1889. Guri Pedersdatter was born September 9, 1863 at Gol, Hallingdal on Turhus farm. As far as I know she lived on that farm with her family until she emigrated. I think she met my Grandfather at Hope, North Dakota. Any help you can give me will be appreciated. I am also curious about the other brother's destinations. I have never been able to find my Grandmother on a US census prior to her marriage. She changed her name to Julia Petersn in the States. I don’t know if this was her idea or the Immigration people. Her parents were Peder Arnesen and Unn Olsdatter. A brother Ole and a sister Mari stayed in Norway. Also, s it possible to find an earlty picture of Turhus farm?