"Beautiful Ohio" was a big hit three times that year, for the prolific Mr. Burr and a couple of orchestras, yet I can honestly say I'd never heard of the tune until just now. I recognize only four titles. "Mandy" would be a fifth if it were the Barry Manilow song, but since Van & Schenck almost certainly had no access to a time machine (I think we'd have heard about that, but heck, we haven't even heard of Van & Schenck) I can't put it on my list.
My dad had several 78s by John McCormack, an Irish tenor, among his huge music collection when I was a kid in the '60s. Most were recorded only on one side, an indication of just how young the recording industry was in those days. I listened to some of them and especially liked his rendition of "The Star-Spangled Banner," which I found out years later, upon finding the recording on YouTube, was the only recording of the anthem ever to top the chart! Apparently, he decided to record it as a message of gratitude to the country that had responded so warmly to his music, most of which consisted of sentimental Irish and Irish-American ballads.
I'm surprised that you don't know "Mandy". It was a big production number in "White Christmas"!