Green’s Dictionary of Slang

Holborn n.

[the prisoner was taken in a cart, with their coffin, from Newgate jail west along Holborn (stopping for a final drink at the Bowl Inn, St Giles) to the Tyburn gallows at Paddington]

In phrases

ride up Holborn (v.)

to be hanged at Tyburn.

[UK]T. Randolph Hey for Honesty IV i: This is a rascal deserves to ride up Holborn, / And take a pilgrimage to the triple tree, / To dance in hemp Derrick’s coranto: / Let’s choke him with Welsh parsley.
J. Taylor Nonsence upon Sence 9: Give me a Leash of merry blades, right Bilboes, / True tatter'd Rogues in Breech, Shirts, Skirts, and Elboes, / And each of them will make a fit Disciple. / To ride up Holborn to the tree that's triple.