Anne Goldspink bap 8 Oct 1820 Trowse
Mary Anne Goldspink bap 20 Jan 1823 Norwich, St Etheldreda
Robert Goldspink bap 3 Apr 1825 Lakenham
William Goldspink bap 25 Feb 1827 Lakenham
John Goldspinks bap 5 Jul 1829 Trowse
From the details on her baptism my guess is Emma is Thomas Lanham's daughter, but born before he and Ann married, hence the Goldspink surname