Some even leave a logo after you buy it in certain areas.
The logo or watermark was probably added during the rip & not the burn.
Test the video if you have it on your harddrive still with a media player.
If it has a watermark then no burning software will burn it without the watermark.
If by some slim chance it doesn't have the watermark then burn it with ImgBurn.
See what happens when you split a DVD with DVDFab (the paid version).
Note I haven't done that for quite awhile & that could have changed.
On the pro side DVDFab will rip to DVD9 size after the trial(free version) without a watermark.
You still will need a software to compress it if you want a DVD5 size.
Of course as above if you purchase most software there aren't the watermarks.