What Works:
string relativePath = "..\\bling.txt";
string baseDirectory = "C:\\blah\\";
string absolutePath = Path.GetFullPath(baseDirectory + relativePath);
(result: absolutePath="C:\bling.txt")
What doesn't work
string relativePath = "..\\bling.txt";
Uri baseAbsoluteUri = new Uri("C:\\blah\\");
string absolutePath = new Uri(baseAbsoluteUri, relativePath).AbsolutePath;
(result: absolutePath="C:/blah/bling.txt")