Can you solve this mate in 3?

A clever construction which features crossing a critical square (e4) though it violates a ground rule of composition chess. The solution of a "mate-in-n" problem should not start with a piece capture - a pawn is OK.
Here's a version that works though the 2nd move in the original is more surprising. There is an extra thematic try in 1.Qd3?. Also removed some redundant stuff.
.

This mate in 3 was composed in 1865 by Patrick Thomas Duffy in the Illustrated London News, and republished in the Westminster Chess Club Papers, here is a link to the page:
https://play.google.com/books/reader?id=Gs9eAAAAcAAJ&pg=GBS.RA3-PA88&hl=ru