Thank you jaywit, and maddy. Some interesting comments regarding 67 Brunswick Place and 70 Brunswick Place (Lady Chichester Hospital) and adoption. Maybe Lillias had a nervous breakdown or postnatal depression?
https://www.mybrightonandhove.org.uk/places/placecivic/lady-chichester-hospital/lady-chichester-hospital1522 THE LONDON GAZETTE, 5 MARCH, 1937
NOTICE is hereby given that the Partnership
heretofore subsisting between us the undersigned
Olive Jessie Offord (nee Hall) and Alice Louise
Brunning carrying on business as Proprietresses of
a Nursing Home at 67 Brunswick Place Hove Sussex
has been dissolved by mutual consent as from the
3ist day of December 1936. All debts due to and
owing by the said late firm will be received and
paid respectively by the undersigned Alice Louise
Brunning who will continue to carry on the said
business.—Dated this 26th day of February, 1937.
O. J. OFFORD.
(046) A. L. BRUNNING.
Maybe John was sent to a boarding school?