If you mean Rayments of whitby Northyorks - I am currently tracing my great grandfathers parents one of whom I believe (trying to confirm that) may be Hannah Rayment. I'm sorry i cant be of much more help as that is all I know!!
Just in case its of any help if she is my great great grandmother then she had 6 children James, george, william rayment(born 1861), Thomas (my g.g.) and Ann all born in Whitby as far as i can tell. Their surname was Willis and she was married to George Sinclair Willis.