Flower named after someone? No.

Named after a person? Strictly speaking, No. But Yes would actually be a more helpful answer.
“The” is not in third place. I said it wasn’t “The X of Y”. For free, I’ll tell you “The King Edward potato” exactly corresponds to the AOTC, though I’ll mention again that other descriptions would be perfectly acceptable.
The King Edward potato? No. I’ll also remind you that the AOTC is unique
“of”-inclusive? No.

Sorry—I meant the form of the expression. “The KE potato” matches the form of the AOTC.

Vegetable = vegetable? Yes.
The Liz Truss lettuce? Yes! Have this unconventionally shaped baton. It’s slightly brown on the edges, but still perfectly usable.

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Thank you, though this baton is somewhat rotten on the inside. No similarity to any person, living or half-dead, is to be inferred. So let's relaunch with MINERAL with some VEGETABLE connotations.

Not an onion dome.
Yes, it is made of metal.

It is a mechanical device.
It is unique.
It has a certain charm, but it is not classed as Art.
It is not a building, though it was built.

Its purpose is not entertainment.
It is located in the UK.
It was built for transportation purposes.
I'm not sure if it's regarded as old-fashioned.
It's not a train.

It is a bridge.
It is an A-road.

It is not the Iron Bridge in Coalbrookdale.
It is not in London.

It does not cross the river Forth.
It is not on the A5.
The name does supply a vegetable connotation. But it's such a punnish and abstruse one, that to be honest I can't recommend this line of investigation.
It is not the Prince of Wales' bridge on the M4.
It is not the Menai bridge.
If you don't want a hint, read no further.

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Remember that this is a mechanical device.