It would indeed look as if your ancestor was stationmaster at Kilrea, County Derry in 1881 as database of Derry Genealogy, at www.derry.rootsireland.ie
, records the following birth:
Born: 22 August 1881 at Kilrea
Henry Hammond Bingham to Hammond Bingham, railway station master and Jane Steele
To examine historic maps and aerial photograph of town of Kilrea search Public Record Office of Northern Ireland’s Historical Map viewer at https://www.nidirect.gov.uk/services/search-proni-historical-maps-viewer.
By entering ‘Kilrea’ in ‘Type Placename or Address’ box you will be able to view, by selecting 'Layer List' tab, first edition (1832-1846), second edition(1846-1862), third edition (1900-1907) and fourth edition (1905-1957) Ordnance Survey maps of Kilrea town.
In the 2nd, 3rd and 4th edition maps the line of the railway and the railway station are clearly marked! This section of railway, originally known as Derry Central Railway, opened in 1855 and later became part of Midland Railway Northern Counties section.