Constance was the sixth child of Sir Edward Stock Hill and Fanny Ellen Tickell:
They had seven children:
- Eustace Tickell Hill 13 Apr 1869 – 11 Jan 1933
- Vernon Tickell Hill 30 Jan 1871 – 29 Sep 1932
- Mabel Frances Hill 1873 – ?
- Roderick Tickell Hill 1875 – 1907
- Percy Montgomery Tickell Hill 28 Sep 1877 – 27 Apr 1944
- Constance Gertrude Hill 1878 – ?
- Gladys Claire Hill 1880 – ?
The family built and lived at Rookwood, Llandaff Glamorgan.