There is no other family named on the Naturalization Records.

He says he was born in The City of Mannheim - which is why the Baptism you sent looked promising.
His Declaration was made on 4th Dec 1850.
He said he had resided in the country for 26 years - making it 1824 when he came.
He said he was 46 years old - making his year of birth most likely 1804
Apparently at some point went to Switzerland to train with the Pestolozzi school of education and he was a teacher at Cheam School. There are quite a few references to him there. In some of the references they say he came from Frankfort (sic) but I think the declaration which he wrote and others on his behalf are more likely to be accurate.
I looked for the names of his proposed father - Friedrich Reiner & mother - Josephe Caroline Priese on FS but found nothing.
Although I've been using FS since it came online I just can not get on with this new format so may have missed something.
He was a very well respected Maths (and other science subjects) teacher and became a Professor of Mathematics so I am thinking he must have had a good education in Germany or wherever before he came here.
Thank you for your help
Judy