Ashley, all my artwork is in 1366 by 768. If I put the native desktop resolution to 1366 by 768 all looks fine.
If I put the desktop resolution to the best resolution supported, the game is stretched and everything looks very pixelly and the anti-aliased edges are kind of lost. the end result is very ugly.
So yes, if Awesomium can support the option of changing the desktop resolution to a specific resolution and then change it back to standard upon game exit, it will be much better.