I have Sarah Ainsworth and Frederick Law in my family tree. Frederick had brother, Thomas b 1813 m Elizabeth Herring b 1814. On marriage cert for Thomas and Elizabeth they were both living at Hamer Mill. Thomas and Frederick were born in Rotherham. Their Parents were Thomas b 1781 and Martha b 1788. On 1861 census Frederick and Sarah had living with them Sarah E Law their niece age 6 who was born in Auckland New Zealand. Sarah E was the daughter of John Hauge Law and his wife Ann who went to Australia in 1851 shortly after they married in Manchester and had daughter Marianne in Melbourne. They then went to Auckland and had 3 more Children the last one Annie was born after John Hague Law died in 1856. I believe Sarah E is actually Sarah Helen Law from birth cert obtained from New Zealand. I would be very interested to know more abou at the Ainsworth/Law connection. Regards B Law