Relative died giggling with head falling off (8)
I believe the answer is:
daughter
'relative' is the definition.
(I know that daughter is a type of female offspring)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for daughter that I've seen before include "'''Don't put your ... on the stage, Mrs Worthington'' (Noel Coward) (8)'" , "Female offspring" , "Girl" , "Female child" , "Female descendant" .)