Wow, leave it to CWS to take an innocuous point I make, and turn it into a controversy. I have to give it to you-- you've still got it!!!

Since the only way Patsy could have heard it, is if Willie recorded it, then I'm going to go ahead and give him the credit here. But it's true that he didn't record a released version of it, until after she did. Indeed, he and his representation sent it to her and asked her to record and release it. You know, after he'd already written it. And recorded it. So that other people could hear it. And perhaps record it too. She was certainly a much bigger name at the time than he was. Which is how the business worked then.
If you weren't aware that Willie wrote "Crazy" then I think you might be really surprised at how many big hits were written by Willie in the early 60s, but released and made famous by others. Here are a few:
"Hello Walls" -- written by Willie, made famous by Faron Young in 1961
"Three Days" -- written by Willie, also made famous by Faron Young in 1961
"Crazy" -- written by Willie, made famous by Patsy Cline in 1961
"Funny How Time Slips Away" -- written by Willie, recorded and made famous by Billy Walker, and then later Jimmy Elledge, both in 1961. But basically everyone has covered this one, form Perry Como to the Supremes to Ricky Nelson to Elvis to George Jones to Al Green and even Dave Matthews"Night Life" -- written by Willie, made famous by Ray Price (and also Doris Day) in 1963
"Pretty Paper" -- written by Willie, made famous by Roy Orbison in 1963
"One Day at a Time" -- written by Willie, first recorded by Bobby Bare in 1965, but possibly biggest/most famous by Joan Baez in 1970