Just found a few more interesting snippets in the mystery of what happened to Charles Livermore.
On the 1861 census Augusta (saying she is widowed) is living with her daughter Ada and sons Lechmere, Louis Napoleon, Horace William and Henry Augustus. Henry Augustus is 5, which made me think that Charles had died after about 1856.
I have just found baptism record for Horace. Although he was born in 1851 he was not baptised until 1854.
The baptism took place at Manchester Cathedral on 29 November 1854, birth 16 Aug 1851, parents "the late" Charles Livermore and Augusta Sophia, residence Manchester, Charles's occupation tailor and Draper.
I wouldn't have thought any more except that it confirmed Charles had died before Nov 1854,
but the entry immediately above for a baptism on the same day is for Henry Augustus Willym, son of Thomas Willym Beckett and Augusta Sophia, birth 21 Aug 1854, residence Manchester, father's occupation Professor of Music.
As well as no death record for Charles Livermore between 1851 and 1854, there is no marriage for a widowed Augusta Sophia and Thomas Beckett.
The closest I can get to the possible father is a Thomas W Beckett, professor of dancing, living in Gresse street St Pancras in 1861. He is 47 and has a wife Margaret aged 28. Both born in Middlesex. There is a marriage of a Thomas Willym Beckett to Margaret Victoria Grice on April 4 1859, he is a widower and music master. And in 1871 Thomas has a different wife, Alice aged 24 and he's 57, profession music master. I wonder where he was in 1851?
I suspect Augusta claimed that Charles was dead and she was now the wife of Thomas Beckett, to explain why she was bringing a three year year old son and a three month old baby to be baptised at the same time.
It still looks as if Charles and Augusta split up and Augusta had a relationship with Thomas Beckett (or because she had the relationship with him).
This family is getting even more interesting!