Wood wheels were likely, but I doubt it was a wooden fork based on the construction of the frame--specifically the open box section where the frame would mount. Note the wooden fork example above has a hinge mechanism for steering. On the other hand, the "open box" section on your frame with the two holes at the top and bottom, is where the (metal) steerer tube from a fork would go, fitted with a sort of headset gear box for steering. There are some similar arrangements shown in the Bicycle Design book I mentioned above, but none that are an exact match.

Metal spoked wheels were around dating back as far as 1868 or 1869 (Eugene Meyer, Paris), but still incorporated metal bands around wood for the rims. (A constant repair item due to poor roads and wood damage and/or slippage from the bands).

Even some of the first ordinaries/high-wheelers/penny-farthings had very intricate and lovely design work. Wrought iron artisans were frequently involved in the fabricating of these early bicycles. The example above seems quite crude by comparison. Not to disparage it at all. Still very cool, but it has more of a blue collar ironsmith feel than an embellished play-thing of the wealthy elite. Have you found any markings on it anywhere? I would not be surprised if this turns out to be a DIY frame made by a blacksmith rather than a production model one could order.

(Disclaimer: Take the above speculation with a grain of salt. I'm by no means an expert on bikes from this era.)