I googled this question and I found this really good fan fiction story about this topic. So read the story. I hope this answers your question.
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He was also afraid he would not be picked at all.Not slytherin.....Not slytherin
Slytherin.
No, James Potter was in Gryffindor house. Harry's mother was also in Gryffindor.
The Sorting Hat initially wanted to put Harry in Slytherin; but seeing as Harry already had a bad impression of Slytherin he asked not to be put there, and the Sorting Hat put him in Gryffindor, if Harry hadn't said, "Not Slytherin, not Slytherin" than he most likely would have been in Slytherin. but he was placed in Gryffindor.
It is true that in many stories that are fan fiction, Winston is one of the Heirs of Slytherin. This was not described in the original Harry Potter book series.