It was the third of June

Sometime during May, I received an email at work that said ....
I wonder if on the 3rd of June you might want to look at playing - Back-to-Back
the 'Ode to Billy-Joe', the Bobby Gentry number and Neil Daimonds' tune 'Desiree'. 
This is Not a Request as Such but Both of these Songs have same Opening Line .....
'It Was the Third of June ....' I thought you might want to make a point of it in
some Subtle way.

No - I don't need a Hobby - I just Notice things. Cheers Fred  

So I looked up Lyrics World (which doesn't have annoying pop-ups)

Ode To Billie Joe -Artist: Bobbie Gentry

-peak Billboard position # 1 for 4 weeks in 1967

-Words and Music by Bobbie Gentry

It was the third of June, another sleepy, dusty Delta day

I was out choppin' cotton and my brother was balin' hay

And at dinner time we stopped and walked back to the house to eat

And Mama hollered out the back door "y'all remember to wipe your feet"

And then she said "I got some news this mornin' from Choctaw Ridge"

"Today Billy Joe MacAllister jumped off the Tallahatchie Bridge"

DESIREE Neil Diamond

Written by Neil Diamond

It was the third of June

On that younger day

Well I became a man

At the hands of a girl

Almost twice my age

And she came to me

Just like a morning sun