Yes, the log file would be great. Date, time, pixel size, population data.... the stuff that gets calculated for the render anyway. Maybe optional, probably from the render panel for those who have no need for it.
This would also be nice for those quick scenes made for the forum (to paste the information into the thread.) In fact, maybe a small information or notes field.
Actually, maybe a better idea is to expand the already available "Project Settings" in the lower left corner of the screen with data mentioned above. A small checkbox called "write to a file" using the scene name/path .log or .txt.
[edit] I should have added... I know the Project Settings is primarily meant for the animation version, but there seems to be no reason it couldn't be used for stills (expanded as I mentioned above.) Also, I would not be in favor of anything "rendered in", like watermarks, to the image file. This can be accomplished with many graphics programs like Photoshop or specialty watermark software.