Why didn't Ned.....(spoilers)
When Ned gets the call from the law firm handling Walker's will, the natural reaction would've been to deny ever handling the will. 'What will? I never met Edmund Walker.' Instead, he just folds himself into more trouble. After asking some questions of the attorney, I'm thinking Ned could've said something like he once met Matty Walker at a party, and she was coming on to him pretty heavy--finding out where his office was, then he never saw her again. Remember, he and Matty were very careful about not being seen together.
So I say to Ned--just deny everything. (yes-I know it would've been a different movie).
It looks like he had a ready answer to Lowenstein's wondering where Ned was on the night of the local murder. What dya think it was?