Not sure about in 1889 but probably the same place. This was in 1649 when Cromwell attacked.
"The geography of Drogheda was crucial to the siege. The town was totally contained within a formidable wall one and a half miles long, 20 feet high, and 6 feet wide at the base, narrowing to 2 feet on top. The main town lay north of the River Boyne. To the south, still within the impressive fortifications, was an additional urban area situated on a hill that had to be tackled first by any army coming from the south. In the extreme southeast corner, virtually embedded in the city wall, stood St. Mary's Church. From its lofty steeple the defenders not only had a fine view of the city but were in a good position to fire upon attackers.
Flanking the church on the town side was a steep ravine called the Dale, then the heavily guarded Duleek Gate, the entrance to this southern outpost, and behind that an imposing artificial mound called the Mill Mount. http://www.historynet.com/wars_conflicts/17_18_century/3026656.html?featured=y&c=yAnd
"When Drogheda's town walls were built in the 13th century, they encompassed the Carmelite monastery within them. It was at the south east corner of the churchyard that Oliver Cromwell, based on the opposite side of the declavity known as The Dale, breached the wall with cannon fire and enabled his troops to enter Drogheda in September 1649. Part of the wall still stands at the rear of the churchyard."
http://irishhistorian.com/Drogheda/StMarysChurch.htmlI would imagine that you can find a map somewhere of the battle area and find the exact location.
