Cammy has recovered from an ankle injury which caused him to miss the defeat to Italy while Andy replaces Brendan Laney at inside centre.
Vice-captain Gordon Bulloch is in his usual place at hooker.
Despite speculation that he may start, stand-off Dan Parks is named among Scotland's replacements.
Jon Petrie is remaining with the squad.
Matt Williams said: "Andy Henderson has earned his opportunity through performance, while I'm delighted that Cammy Mather is fit again after his ankle injury sustained against England."
Scotland
Derrick Lee (Edinburgh), Simon Danielli (Bath), Tom Philip (Edinburgh), Andrew Henderson (Glasgow), Simon Webster (Edinburgh), Chris Paterson (Edinburgh), Chris Cusiter (The Borders), Allan Jacobsen (Edinburgh), Gordon Bulloch (Glasgow), Bruce Douglas (The Borders), Scott Murray (Edinburgh), Stuart Grimes (Newcastle), Jason White (Sale), Simon Taylor (Edinburgh), Cameron Mather (Glasgow)
Substitutes
Rob Russell (Saracens), Gavin Kerr (Leeds), Nathan Hines (Edinburgh), Allister Hogg (Edinburgh), Mike Blair (Edinburgh), Brendan Laney (Edinburgh), Dan Parks (Glasgow).