SkyknightJohn seems like they might have found the same pic as me...
So have been doing some more research. This would be classified as a cross-frame bicycle. So made between 1887-1890( I think more towards 1890 because of the tires). Before the diamond frame.
Manufacturers had decided that struts and stays were needed to strengthen frames after 1896. Chain-stays, seat stays and down-stays were added over the next few years to help triangulate the frames. By 1890, extra bracing had created triangulated and diamond frames for maximum strength.
The other important factor in this early era of bicycle design was tube diameter. Over the next ten years it was increasingly better-produced and lighter. From 100 thou in 1886, tube was thinned down to around 60 thou by 1896.
Helical tubing was patented in 1892, which meant that very much thinner tube could now be used.
Found a closeup of the rods and how they were attched to the rear stays. So maybe the bike did not pivot/spring at all.