They had a previous arrangement with the biological mother to adopt the babies, and were paying for the hospital, so why would they fake the picture? Wouldn't it be easier to go to the hospital, and pickup their children? Instead, your theory is they faked a picture, and then how did they get their children? Did the babies walk to the DC suburbs? Hitchhike?
I know the Republican Party hates homosexuals, but these conspiracy theories just make you look silly. The hatred means that no homosexual should ever vote for a Republican. Nor should any Jew, Black, Hispanic, or American ever vote for a Republican.