Hi, this is a selection of dates and info I have on the family. I have found them in most censuses until 1881 and 1891, by which time some have gone to Australia and others are unaccounted for.
Richard Lawrence/Laurence Newman, b. ~1823, Goswell Road, Clerkenwell, London, Christened 5 Jun 1825 , Bermondsey, m. Mary Ann Bartlett, 2 Nov 1846, Newington St Mary, m. Caroline Cox, 30 Sep 1854, Hackney St John, d. 1897, Epsom, Surrey.
Caroline Cox, b. ~1834, Crondall, Hampshire, m. Richard L Newman 1854, d 1892, St Pancras, London.
William Henry Newman, b. 1 Oct 1855, Hackney, London, m. Jessie Evangeline Ragg, 22 Feb 1877, arrived Sydney, NSW, Australia 15 Nov 1877, d. 1932 Perth, WA, Australia.
George Newman, b ~1857, Hackney, London, m. Mary Ann Hannah Bliss 1 Oct 1876, Gillingham, Kent, arrived Sydney, NSW, Australia 19 May 1883, d. 1932 Australia?
Alice Newman b. ~1867, Camberwell
Caroline Newman b. ~1870, Camberwell
Julia Rosa Newman b. ~1872, Camberwell, m. John Henry Sedergreen 1901, Victoria, Australia, residing in Perth, WA, Australia, 1903, returned to England on 11 Feb 1908.