Question: For the Methodist church in a town in Arkansas with a population of 2897 , when was it built ?

text: List of Methodist churches in the United States
Selected salient ones -- Arkansas

This is a list of Methodist churches in the United States. It includes notable churches either where a church means a congregation (in the New Testament definition) or where a church means a building (in the colloquial sense). It also includes campgrounds and conference centers and retreats that are significant Methodist gathering places, including a number of historic sites of camp meetings. This very limited list includes only historically or architecturally significant buildings, and omits many of the currently very largest and influential congregations which do not meet that standard. Methodism was founded with a large component being a rejection of past churches and was developed by John Wesley and others in large open-air gatherings in Great Britain. In the United States, Methodists (along with Baptists and other Protestants) were major participants in the Second Great Awakening wherein people would travel from a large area to a particular site to camp out, listen to itinerant preachers, and pray. The list also includes selected notable Methodist theological buildings. In the United States, numerous Methodist churches are listed on the National Register of Historic Places and on state and local historic registers, many reflecting the values of plainness, of Gothic architecture, of simple adornment. The Greek Revival style is also simple and came to be adopted for numerous American Methodist churches.
Church Dates City , State
Methodist Episcopal Church , South ( Bald Knob , Arkansas ) 1992 NRHP-listed Bald Knob , Arkansas
Bethel African Methodist Episcopal Church 1882 built 1986 NRHP-listed Batesville , Arkansas
Bigelow Methodist Episcopal Church , South 1908 built 1996 NRHP-listed Bigelow , Arkansas
Calico Rock Methodist Episcopal Church 1924 built 2007 NRHP-listed Calico Rock , Arkansas
Two Bayou Methodist Church and Cemetery 1875 built 1998 NRHP-listed Camden , Arkansas
Camp Methodist Church 1878 built 1997 NRHP-listed Camp , Arkansas
Mt . Zion Methodist Church built NRHP-listed Carthage , Arkansas
Frenchman 's Mountain Methodist Episcopal Church-South and Cemetery built NRHP-listed Cato , Arkansas
Smyrna Methodist Church built NRHP-listed Center Hill , Arkansas
Clarendon Methodist-Episcopal Church South built NRHP-listed Clarendon , Arkansas
First United Methodist Church built NRHP-listed Conway , Arkansas
Crossett Methodist Church 1949 built 2010 NRHP-listed Crossett , Arkansas
Methodist Episcopal Church , South ( Dardanelle , Arkansas ) built NRHP-listed Dardanelle , Arkansas
First United Methodist Church 1923 built 1992 NRHP-listed DeWitt , Arkansas
Emmet Methodist Church built NRHP-listed Emmet , Arkansas
First United Methodist Church 1925 built 1983 NRHP-listed Fordyce , Arkansas
Dodson Avenue Methodist Episcopal Church built NRHP-listed Fort Smith , Arkansas
First United Methodist Church built NRHP-listed Forrest City , Arkansas
First United Methodist Church built NRHP-listed Hamburg , Arkansas
Houston Methodist Episcopal Church , South built NRHP-listed Houston , Arkansas