His elder brother was Alexander Falconer, 5th Lord Falconer of Halkerton (who married Frances Mackworth, a daughter of Herbert Mackworth and granddaughter of Edward Noel, 1st Earl of Gainsborough).
Falconer served as Captain-Lieutenant of the Cavalries (in the regiment of Lintelo) and as Quarter-Bailiff in the "Meierij van 's-Hertogenbosch.
"[2] On 24 August 1735, William Falconer married Rembertina Maria van Iddekinge in Groningen at the Walloon Reformed Church of the Pelstergasthuis.
A daughter of Burgomaster Pieter Rembt van Iddekinge of Groningen,[1] his parents disapproved of the marriage and refused to support his family.
Falconer remained in Holland for the rest of his life with his family becoming thoroughly Dutch.