That should do the job << most of the other data will be about resolution aperture and what type of camera took the photo.
But I would recommend you do check with a freeware EXIF Viewer if it's important to you. And do check after any photo editing, I know for example I have to track 'copyright' - and when I save out images from Photoshop if they are tagged as 'originals' - then they have my Copyright Info. appended into the EXIF file (if the format supports one).
If privacy is very important download an Exif Editor and 'remove' the EXIF file before posting.