I wonder if anyone has purchased a birth cert for any of Lilian's children who were given the DESBOROUGH name to see if a father is named?
James George HUNT and Lilian were married in 1915.  The children born to that marriage were:
HUNT, JOAN
Mother's maiden surname: STOWE     
GRO Reference: 1916  D Quarter in CHORLTON  Volume 08C  Page 1044 
HUNT, IRENE  CATHERINE
Mother's maiden surname: STOWE     
GRO Reference: 1919  S Quarter in CROYDON  Volume 02A  Page 369 
Then five years later:
DESBOROUGH-HUNT, ALAN  ARTHUR
Mother's maiden surname: STOWE     
GRO Reference: 1924  D Quarter in LEXDEN  Volume 04A  Page 1263 
DESBOROUGH-HUNT, FREDA  DAPHNE MARY
Mother's maiden surname: STOWE     
GRO Reference: 1926  J Quarter in SUDBURY  Volume 04A  Page 1517
As CaroleW has already said, James is not with the family in 1921 and the surname is just HUNT, so there is a reasonable chance that somebody else was the father of Alan and Freda and that is where the DESBOROUGH name has come from.
James and Lilian divorced in 1928 and that record might confirm which children were fathered by James.  Lilian's second middle name is incorrect.
https://discovery.nationalarchives.gov.uk/details/r/C8053648Debra  
