Hannah Wadhams is their mother and she definitely married William Thomas Mee in 1857 in Lambeth London. Hannah and William lived together for a while, had no children and then split up.
They're living together on the 1861 census at 5 Howley Place in Lambeth. Hannah is under ''Hannah Mee b.1838''.
I assume they didn't divorce and so Hannah couldn't re-marry Alfred Ward, unless I haven't found their marriage record. Hannah and Alfred are living together on all censuses after 1861 until she dies.
Children's births:
Robert Ward. bq:3 by:1867 mmn: Wadhams St Saviour Southwark
Frederick Ward. bq:4 by:1868 mmn: Wadhams lambeth, London
Alexander Ward. bq:3 by:1870 mmn: ------- lambeth, London
Herbert Frederick Ward. bq:3 by:1872 mmn:Wodhams St Saviour, Southwark
William Henry Ward. bq:2 by:1876 mmn:Wadhams Lambeth, London
Rebecca Eliza Ward. bq:3 by: 1878 mmn:Mee Lambeth, London
Don't think I have found any baptisms