Having read this, and your last similar appeal for help finding the truth about this man, and the entries on
https://www.british-genealogy.com/forums/archive/index.php/t-39156.html, I can only assume that 1) if the case went to court the man pleaded guilty, so Ivy Lee was not called as witness, 2) he was charged under his real name (which you don't know).
It is likely that any information Ivy Lee was given on the man, the case or the outcome has been lost or destroyed (possibly in embarrassment or disgust at the man).
Searching the online archives only reveals basic names of documents, not their contents. Other than visiting or directly asking staff at National Archives, Kew to search for you, I don't know how you can further this search. The case might have been heard in Birmingham, or not: I don't know what records the Birmingham courts have, or whether they are publicly accessible. The only male bigamy case refered to in the National Archives index in the approximate date period is case CRIM 1/1174 from April 1940, Defendant: HAKNEY, Cyril John Anthony. Charge: Bigamy. I think it's too much to hope that the answer can be found that easily, but IF the case was held, UNLESS the records were destroyed in the war, there may well be a document somewhere with the information you want on it. I expect many stones will want upturning before you find the truth, but good luck in your search - sorry I can't be of more help.