I found 4 words (W) in the acrosses which can form a phrase of the form "X W" where X is the first word of the creators' name.
Then there is one across and 5 down words W that can form a phrase "W Y" where Y is the second word in the name.
I don't know if that is what the setter has in mind but it is perfectly defensible. ie all phrases are in Chambers or Wikipedia