I did some cursory research between the two when I was searching for my Masonic connection. One of my great grands was an Odd Fellow but not a Mason, even though there was a time when many men belonged to both. I was hoping for this case.
In New York in particular, during the aftermath of the Morgan Affair, the Odd Fellows may have been a haven for exiled Masons while they waited for the backlash to die down.
The Greater Rochester Area, close to where it happened, was decimated. "Prior to the Morgan Affair, a number of Lodges were developed in every corner of Monroe County — Morning Star in Pittsford, Wells in Gates, Penfield Union in Penfield, Parma, Thomkins in Scottsville, Henrietta, Monroe in Brockport, Brighton, Union in Mendon, Hamilton in Rochester, and Monroe Encampment in Rochester. But by 1830, all Masonic bodies in Monroe County had ceased to exist." (
Source.)
Many Masonic groups met in Odd Fellows lodges in the Rochester area until the downtown Masonic Temples were erected. By the 1920's, the Masonic groups were back in full force. (And at least for Eastern Star, Monroe District was the largest in the state for much of that decade.)