I gotta admit, I didn't either – even though the fast food outlet was on North Ridge Road right across from the O'Neil - Sheffield Center.
Kelly's Hamburger Drive-in first appeared in the 1963 Lorain City Directory at 1390 N. Ridge Road – but not for long. After only a few years, the outlet was listed as a Casey's Drive-in in the 1966 directory.
And then, by the time of the 1970 directory, the building was listed as vacant. It would take until the 1974 book for another tenant to take over: Mary's Ice Cream Parlor.
The former Kelly's/Casey's building is still there today (below), with a new address – 42675 N. Ridge. The building retains some of the Kelly's diamond-shaped graphics.
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There's not too much about the Kelly's Hamburger system on the internet. This Flickr® site included the vintage photo below of a Kelly's outlet in Warren, Michigan.
And this Flickr set includes a vintage Kelly's ad.