Pinch, Punch

White to play, and mate in 5.
(Théodore Herlin, La Régence 2nd prize, 1860.)

So, pretty much that was the warmest January in Europe on record. One morning of snow in London - but Dutch daffodils already up, and fires in Hungary. The ice skating looks over for another year - which for me is something I don't mind missing out upon; the inelegant sliding around by the rails, the tumbles in the rink's corners - while others gracefully show how it should be done.

Anyhow, chess. Have fun solving this witty one.