Poet describes baby, matron half-ignored (5)
I believe the answer is:
byron
'poet' is the definition.
(Lord Byron)
'baby matron half-ignored' is the wordplay.
'baby' becomes 'by' (I am not sure about this - if you are sure you should believe this answer much more).
'half ignored' means to take half the letters.
'matron' cut in half is 'ron'.
'by'+'ron'='BYRON'
'describes' is the link.
Can you help me to learn more?
(Other definitions for byron that I've seen before include "one who could produce lyrical lines" , "Lord --, Romantic poet" , "Author of 'Don Juan'" , "Baron and poet" , "Romantic poet, helped Greeks" .)