I will answer your real question as best I can, though.
Scarf- take location into consideration. I live in So. Cal. I love scarves but live in a short scarf season locale. So mine stay in the drawer most of the time.But if your giftee lives a colder climate, you are good to go.
Potholders- are good for most of us that cook. Commercial ones just don't last well.
Plaque- Cool, Idea. Specially if you rev up your particular sense of humor. For Loz I would say something like "Welcome friends!
(Specially if you are bearing food!)
Mouse- My last cat died not too long ago. I haven't replaced him yet because I have a family of hawks move in that would threaten a young one. And the hawks are doing some of a cat's job for me.
Those mice are so cute though. Like Shirley said, anyone would like one of your blind mice, cat or not.
Necklace/bracelet- I love jewelry. I collect lots of it. Love garage sales and such. But I don't wear it. I take it apart and craft other things with it.
More ideas- Glasses cases for the bespectacled.
Steering wheel cover for drivers
Bookmarks for the readers
Visor pocket thing (see steering wheel cover above)
Cell phone case
Any personalized item would be prized
Neck pillow for the infirm (or anyone that travels a lot)
Anyone can add ideas here. If everyone adds a few somethings, people will get a better bead on what would be most appreciated.