also appears as Robert Peel Runciman (but only in 1851 census)
and as Inglis Runciman
1897 Passenger list shows sailing from Southampton: RUNCIMAN: Mr Inglis & Mrs RUNCIMAN, married; Miss, Miss E A and Miss K females between 1 and 12; Master Inglis male between 1 and 12; and Master ? over 12 
Inscription reads: To the Glory of God / And in memory of / Robert Inglis Runciman born in Glasgow 1848 / died in Buenos Aires 1911 / Elder and Session Clerk of this Church for 28 years this tablet / and the memorial windows above / have been erected by the Congregation and his friends / to commemorate his many and valued services to St. Andrew´s Church / and to the British Community and in thankful recognition of / his steadfast Christian character and of his zeal in all good works.
To the Glory of God / these windows and this tablet are dedicated to the Memory of / Robert Inglis Runciman by his widow / Mary Spring Inglis Runciman / and his children Blessed are the Peacemakers
Dth Notice: RUNCIMAN at Flores, Buenos Aires on the 3rd inst, Robert Inglis RUNCIMAN, aged 62 yrs 
RUNCIMAN: David D.D. 47, Minister of St Andrew b nr Lauder, Berwick; wife Janet 35 b Edin; Children: David W 13, Mary K (ancestry indexed as R) 12, William A 10, John A 8 all scholars all b Edin; Janet L (ancestry indexed as B) scholar, Robert Peel 2, Alexander E 3mths all b Glasgow; Servants: LANDES, HENNESY; BOWNER 
Buenos Aires, ARG
RUNCIMAN: Roberto Inglis 47 b ?Gt Britain?; Maria Spring 40 b ?USA?; (both with 10 children, and married 19 years); Guillermus 9, Louis 7, Susanna 4, Alessandro 6, Donaldo 2, Edmundo 10mths all b Buenos Aires 
President of the St Andrew's Society (as R Inglis RUNCIMAN), there is also reference to him as being one of the first office bearers of the society (which was founded 17 Dec 1888) 
↑ Source: #S2567 From "A Brief History of our Branch of the Runciman Family", rcvd & extracted May 2007
↑ Source: #S2342 Memorial inscription, and window dedication 1911 Robert Inglis RUNCIMAN, St Andrews Presbyterian (the Scotch Church), Buenos Aires, extracted Sep 2005 Note: From http://www.argbrit.org/MIs/MIs.htm, British Settlers in Argentina, by Jeremy HOWAT, last updated 16 Sep 2005
↑ Source: #S2355 Dth 1911 Robert Inglis RUNCIMAN, pg 10 Fri 6th Jan 1911, extracted Dec 2005
It may be possible to confirm family relationships with Inglis by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: