The Town of Avoca has a village named Avoca. The town is in the north part of the county, northwest of Bath, New York. The first settler arrived around 1794. The town was formed from parts of four other towns in 1843. Those towns contributing to the new town were: Bath, Cohocton, Howard, and Wheeler.

Communities of Avoca: Avoca - The Village of Avoca is in the southeast part of the town on NY Route 415. Bloomerville - A hamlet northwest of Avoca village on NY Route 415. Castle Creek - A stream flowing past Bloomerville to the Cohocton River. Greenville - A hamlet in the west part of the town on County Road 6. Twelve Mile Creek - A stream flowing into the Cohocton River at Wallace. Wallace - A hamlet northwest of Avoca village on NY Route 415.
Source: Avoca on en.wikipedia.org

Avoca was named Avoca in allusion either to Moore‘s poem "Sweet Vale of Avoca," or "Meeting of the Waters." The village of Avoca was previously known as "Eight Mile Tree" and then was known as Buchanan, from the fact that William Buchanan was the first settler in the region. Avoca is on the Cohocton River.
Source: history.rays-place.com
en.wikipedia.org