HIGGINSON OF CORNAMUDDA
What I can tell you is that John Robert Higginson, through his nephew Frederick Higginson (Census 1901) was the brother of Thomas Higginson of Cornamudda, Drumshanbo. Thomas' records confirm their father was Francis Higginson of #2a Cornamuddagh in Griffith's Valuation 1857, and their mother, Eliza, lived on until 1896. (See the ancestor profile for Thomas for sources and links).
There were 4 farms in Cornamudda and the Higginson farm #2 was held in partnership by William, Francis and Robert Higginson, and Robert Coyle (presumed married to a Higginson). William Higginson & partners were recorded in Cornamuddagh in the tithe applotments of 1834. These "partners" were clustered together in a family rundale village (or clachan) near the roadside.
So John Robert Higginson was born in farmhouse 2a (see attached) It does look like there are traces of the old Higginson settlement still there. See googlemap street view here of the gate leading into it.