Movable Overlay Blend

Hey forum,

I’m looking to get what’s seeming to be quite a complex effect and it has me stumped (especially as I’m rather new).

I’m making a 2D platformer with the appearance of being painted. I want to do this through rendering and, at the moment, I’m trying to deal with a card texture overlay. I made a video explaining my problem and what I’m looking for:

I want the texture to be blended with the whole scene, but I’d like it to move such that the character appears to be traversing a page.

Thank you for reading and any help is thoroughly appreciated!