This sounds like a dream name but she's been hard to track down - with a variant every Census (Kerenhap, Keren, Kawen, Karren, Kareem and even Elizth!)
She was b 1814 in Rowley Regis and married James Smart.
I haven't been able to find a birth or marriage record by using Ancestry, BMD, IGI etc.
I'm also unclear about where Rowley Regis was in 1813 - Staffs? Worcester?
I also have a sneaky feeling they may have been non-conformist/Primitive Methodists - based primarily on the names that run thro the family which include Cephus, Job, Jemima, Tryphena, Perlina, Lavinia
Any pointers or suggestions?
There was a researcher a few years ago who posted on lots of forums regarding Kerenhappuch Smart but sadly it appears she has died and her research with her.