BBC: "Man convicted of murdering his girlfriend and their 10-month-old daughter at Winchester Crown Court"

Yes. The meaning is understood, but a decent editor would have dropped the place reference from the headline. It adds nothing and introduces ambiguity.

To recast the sentence for clarity, I would suggest:

Man convicted at Winchester Crown Court of murdering his girlfriend and their 10-month-old daughter

That puts the money words ("murdering" "girlfriend" "daughter") at too far a remove from the beginning of the headline, however, so it is easy to see why the editor chose to put the place reference at the end. As I say, however, this information seems to belong more in body copy than in a headline.

Another possible headline would be "Winchester Crown Court convicts man of murdering his girlfriend and their 10-month-old daughter". I agree, though, that mentioning the court at all seems quite unnecessary.

No, you and many other people choose to ignore the rules of implicature. and wilfully misinterpret the sentence, for comic effect.