Hi there!
I managed exactly, what you want to do: using just one header image.
The result looks like this: https://kinderwagen-fuer-zwillinge.de/
I have installed the latest version (2.1) of “WP Responsive header image slider” and uploaded one image in the new menu “Responsive header image slider”.
I’m using following settings:
Navigation: False
Navigation Effect: Fade
Pagination: False
Pagination Effect: Fade
Play Active: False
Auto Play On Page Load: True
Play Effect: Fade
Auto play speed: 6000
Slider Effect: Fade
Transition Speed: 0
Custom link to image: Yes
I’m using WordPress version 4.3.1–de_DE.
I hope, you can work with this.