I got the map i drew this on from u/creaperbox in this post https://www.reddit.com/r/asoiaf/comments/1r9plj1/spoiler_main_houses_of_westeros_281_ac/

I got the info from these sources: https://www.youtube.com/watch?v=n1KIcmW9iPU , and my memory

Each bright green circle is a house that has a Valyrian steel sword and the white circle means a house with a star forged sword

Explanations:

House Stark used to have Ice (Taken by House Lannister) and have The Valyrian Steel Dagger (From The Targaryens/Baelish/Baratheons/Lannisters)

House Baelish used to have the Valyrian Steel dagger (They took it from House Stark then gave it to House Stark)

House Mormont used to have Longclaw (Until Jeor Mormont took it to The Wall)

Castle Black has Longclaw (House Mormonts sword) and Heartsbane (House Tarlys sword)

House Tarth has Oathkeeper (Ser Jaime gave it to Brienne)

House Lannister has Widows Wail and used to have Brightroar (Until it was lost in Valyria) and they /House Baratheon had the Valyrian steel dagger…