Names of the couple are learned from the 14 Nov 1912 marriage record of their son, Louis (Lewis) Gillan.
2877  This marriage record shows the following:
Groom: Lewis Gillan, age 45, marine engineer, bachelor, residing at 77 Abernethy Street, Glasgow.  His father was recorded as 
William Gillan, grocer, deceased.  His mother was recorded as 
Isabella Gillan, nee Paterson, deceased.
Bride: Jessie Ann Grant, age 30, restuarant kitchen maid, spinster, residing at 77 Abernethy Street, Glasgow.  Her father was recorded as John Grant, grocer
The couple were married in Logie Coldstone, a village in Aberdeenshire, Scotland.
3313From Scotland birth records:
597William Gellan, b 19 May 1835
Father:  William Gellan
Mother:  Ann Smith
1841 Scotland Census, Aberdeen St Clements, Aberdeenshire, Scotland
Address:	James St East Side
Name                      	AgeWillm Gillan               	30
Ann Gillan                 	25
John Gillan                 	  7
Wm Gillan                	  6 b. Aberdeenshire, ScotlandAnne Gillan              	  2
James Gillan                	    7/12
Joseph Sileb             	32
Ann Sileb                  	25
Widow Cheese	               73
Kelman Cheese              30
Sarah Cheese                	25
Jean Cheese                	20
Clementina Carmichael	30
Clementina Carmichael	  8
Susan Morison           	30
George Moir              	40
1851 Scotland Census, Aberdeen East, Aberdeenshire, Scotland
Address: N4 Commercial Court Castle Street
Name                        	AgeWilliam Gellan               40
Ann Gellan                	34
John S Gellan           	17
William Gellan        	15 b. Aberdeenshire, ScotlandAnn Gellan               	12
Elizabeth Gellan        	  7
Penelope W Gellan     	  2
1861 Scotland Census, Old Machar, Aberdeenshire, Scotland
Address:	2 Prospect Ter Ferryhill
Name                        	AgeWilliam Gillan Junior	23 head, general grocer,  b. Aberdeenshire
Elizabeth R Gillan      	17 sister
Jane Wiseman            	19 domestic servant
1881 Scotland Census, Old Machar, Aberdeenshire, Scotland
Address:	43 View Terrace
Name.                      	AgeWilliam Gillan           	46
Isabella Gillan            	45 wife
Isabella Simpson       	17 servant
 
The following census records show a William and Isabella Gillan.  
1861 Scotland Census, Edinburgh St Cuthberts Civil Parish, Midlothian
Name                                	AgeWilliam Gillan                    	37     b Old Machar, Aberdeenshire
Isabella Gillan                    	36     b 
Strathdon, AberdeenshireIsabella A M Gillan              	3       b Edinburgh
William A R Gillan             	2
Alexander S Gillan            	3 Mo
Ann Paul                           	64     b Old Machar, Aberdeenshire, mother
Andrew E Rait                   	20     lodger
1871 England Census, St James Clerkenwell Civil Parish, London
Name                               	AgeWilliam Gillan                     	47       b Scotland
Isabella Gillan                  	45
Isabella Gillan                   	13
William Gillan                    	12
Alex Gillan                           	10
Bessie Gillan                    	2
Ann Paul                           	74      b Scotland, mother
Esther Holland                 	45
John Porter                       	45
John Nichol                       	24 
William Bartholomus         	22
1881 England Census, Clerkenwell, LondonName                              	AgeWilliam Gellan                   	57     b Scotland
Isabella Gellan                  	55
Isabella A. M. Gellan         	23
William A.R. Gellan	               22
Alexander T. Gellan          	20
Bessie R. Gellan                 	12
Ralph A. Gellan              	8
Margaret C. Martin           	20
Alice Archer                       	14
John Porter                       	56
However, this couple are not the parents of the William Gillan who married Jessie Ann Grant because their family did not include a son named Lewis in the 1871 England census when Lewis would have been 3 or in the 1881 England census when he would hae been 13.  They did have a son named William A. R. Gillan, but he was born in 1859 and would have been 53 when Jessie Ann Grant was married in 1912.
However, the initials A. R. allowed me to track down the birth record for this man and it whow his parents to have been William Gellan and Isabella Ramsay.  His name was William Alexander Ramsay Gellan and he was born 10 March 1859.
597. Therefore, is is confirmed that this family are 
not the parents of Lewis Gillan.