Don't remember my patronus or wand at the moment, but Slytherin & Horned Serpent are the houses that I apparently belong to. For me Hogwarts house was always a toss up between Slytherin or Ravenclaw and I had no doubt that I'd be going into Horned Serpent. Though I don't see myself participating in all the various house politics that I hear associated with Slytherin, too much of an introvert.
"Join the Dark Lord! Down with the mudbloods!" "Leave me alone, I have a Charms essay to work on."
I am Slytherin, so that fits I'd say. My patronus is a cheetah. I like it but am not fully sure of the reasoning. My wand is elm wood with phoenix feather 13" with unyielding flexibility. My Ilvermorny house is Wampus.