Not sure if this will help or whether you already have this info.
I think that Thomas & Jane only had two children
Ellenor Cranston Madden bapt St Luke Liverpool 22 May 1889
Thomas Hylton Madden bapt St Luke Liverpool 30 Apr 1895
UK, De Ruvigny's Roll of Honour, 1914-1919 (includes a picture)
Thomas Hylton Madden Rank: Second Lieutenant
Regiment or Ship: The King's (Liverpool) Regiment
Birth Date: 30 Apr 1895
Birth Place: Liverpool
Enlistment Date: 2 Aug 1914
Death Date: 10 Mar 1915
Death Place: Givenchy
Father: Thomas John Madden
Mother: Jane Horrocks
He was killed in action the only son of Thomas John Madden Archdeacon of Liverpool & Vicar of St Luke’s Church
Thomas Hylton Madden
Death Date: 10 Mar 1915
Rank: 2 Lieutenant Regiment: The King's (Liverpool) Regiment
Type of Casualty: Killed in action
2nd Lt Thomas Hylton Madden
Death Date: 10 Mar 1915
Cemetery: Vieille-Chapelle New Military Cemetery
Burial or Cremation Place: Vieille-Chapelle, Departement du Pas-de-Calais, Nord-Pas-de-Calais, France
It might be worth checking to see if their daughter married and had any children.