Are you absolutely sure that the divorce happened?
Or are you assuming that a divorce happened?
There are very few divorce case notes in existence for divorces happening after 1937.
If you do find the Decree Absolute, it will give very little information; it's just an A4 piece of paper

Did you ask the Central Family Court to search for variants of the names?
My grandfather's divorce is indexed under an incorrect spelling! Took a while to find.