I pretty much have the complete Falkirk FC record for League matches 1902/03-1938/39, I am missing some first names & three goals, so am pretty confident about this.
I would have compiled a list of players who scored on their senior debut for Falkirk, however the lack of coverage for the early Scottish Cup matches would have rendered it largely guesswork before the 1890s.
Falkirk players who scored on their League Debut 1902/03-1938/39
| Player | Date | Comp | Opp | notes |
| James Bartram | 31st Dec 1932 | Div 1 | St Mirren (A) | Scored 2 |
| Isaac Begbie | 22nd Nov 1902 | Div 2 | Arthurlie (A) | |
| James Benson | 8th Aug 1936 | Div 1 | Hamilton Academical (H) | Scored 2 |
| John Brown | 10th Oct 1908 | Div 1 | Hamilton Academical (H) | |
| Peter Buchanan | 16th Nov 1935 | Div 2 | Raith Rovers (A) | |
| John Calder | 13th Aug 1932 | Div 1 | Cowdenbeath | |
| George Campbell | 16th Aug 1902 | Div 2 | Clyde (A) | Falkirk FC's first League match |
| Peter Carmichael | 21st Feb 1903 | Div 2 | Raith Rovers (H) | Scored 2 |
| David Cowan | 16th Mar 1935 | Div 1 | Dundee (H) | Penalty |
| James Cox | 7th Nov 1925 | Div 1 | Morton (H) | |
| William Cox | 20th Aug 1927 | Div 1 | St Johnstone (H) | |
| John Dora | 25th Jan 1930 | Div 1 | Morton (A) | His only League match for Falkirk |
| David Duncan | 24th Aug 1918 | Div 1 | Clyde (H) | Scottish League match, no Div 2 |
| James Dyet | 9th Aug 1930 | Div 1 | Leith Athletic (A) | |
| William Gall | 20th Aug 1927 | Div 1 | St Johnstone (H) | |
| Peter Gardiner | 13th Sep 1919 | Div 1 | Dundee (H) | Scottish League match, no Div 2 |
| Charles Glegg | 21st Feb 1903 | Div 2 | Raith Rovers (H) | |
| Francis Graham | 26th Sep 1903 | Div 2 | Leith Athletic (H) | |
| George Grant | 12th Aug 1933 | Div 1 | Third Lanark (H) | |
| John Haddow | 30th Nov 1935 | Div 2 | St Mirren (H) | |
| George Hamilton | 31st Jan 1903 | Div 2 | Ayr (H) | His only League match for Falkirk |
| John Hudson | 21st Sep 1907 | Div 1 | Port Glasgow Athletic (H) | |
| John Hunter | 24th Sep 1921 | Div 1 | Hibernian (A) | |
| Robert Kennedy | 23rd Oct 1926 | Div 1 | Dundee (H) | Scored 2 |
| Robert Keyes | 5th Jan 1935 | Div 1 | Hamilton Academical (A) | |
| Thomas Logan | 20th Aug 1910 | Div 1 | Celtic (H) | |
| Harry Lowe | 16th Mar 1929 | Div 1 | Rangers (A) | |
| Henry Lyon | 27th Aug 1904 | Div 2 | St Bernards (H) | |
| David Main | 13th Feb 1909 | Div 1 | Morton (H) | Scored 2 |
| George Meldrum | 27th Mar 1920 | Div 1 | Celtic (H) | Scottish League match, no Div 2 |
| David Miller | 26th Aug 1931 | Div 1 | Hamilton Academical (H) | |
| Evelyn Morrison | 7th Jan 1928 | Div 1 | Celtic (H) | |
| Alex McCaig | 8th Mar 1919 | Div 1 | Queen's Park (H) | Scottish League match, no Div 2 |
| Andrew McCrae | 21st Dec 1912 | Div 1 | St Mirren (A) | |
| John McInnes | 16th Dec 1905 | Div 1 | Hibernian (A) | |
| Daniel McKerrel | 21st Aug 1937 | Div 1 | Aberdeen (H) | |
| Ian McLachlan | 20th Aug 1938 | Div 1 | Heart of Midlothian (A) | |
| James McNair | 26th Aug 1933 | Div 1 | Dundee (H) | |
| John McTavish | 19th Aug 1905 | Div 1 | Port Glasgow Athletic (A) | |
| Adam Neilson | 16th Aug 1924 | Div 1 | Aberdeen (H) | |
| Hugh Patton | 14th Apr 1923 | Div 1 | Third Lanark (H) | |
| John Rattray | 24th Dec 1910 | Div 1 | Raith Rovers (A) | |
| James Rennie | 27th Dec 1919 | Div 1 | Dumbarton (H) | Scottish League match, no Div 2 |
| James Rice | 28th Aug 1937 | Div 1 | Queen's Park (A) | Scored 2 |
| James Robertson | 18th Feb 1911 | Div 1 | Clyde (H) | Scored 2 |
| William Scott | 16th Aug 1902 | Div 2 | Clyde (A) | Falkirk FC's first League match |
| William Scott | 8th Aug 1908 | Div 1 | Hamilton Academical (H) | |
| James Sommerville | 23rd Mar 1918 | Div 1 | Hibernian (A) | Scottish League match, no Div 2 |
| Alex Spence | 20th Aug 1904 | Div 2 | Aberdeen (A) | |
| Robert Stalker | 24th Dec 1904 | Div 2 | Abercorn (A) | Scored 2 |
| Alex Stewart | 26th Nov 1938 | Div 1 | Ayr United (H) | |
| Alex Thomson | 11th Oct 1913 | Div 1 | Morton (H) | |
| Daniel Thomson | 12th Nov 1921 | Div 1 | Clyde (A) | |
| John Thomson | 16th Oct 1920 | Div 1 | Clyde (A) | Scottish League match, no Div 2 |
| James Tulips | 1st Jan 1938 | Div 1 | Morton (H) | Penalty |
| James Turnbull | 29th Aug 1903 | Div 2 | East Stirlingshire (H) | |
| William Walker | 21st Apr 1934 | Div 1 | Queen of the South (A) | |
| David Watson | 19th Aug 1916 | Div 1 | Kilmarnock (H) | Scottish League match, no Div 2 |
| ???? Welsh | 7th Sep 1921 | Div 1 | Airdrieonians (H) |
Notes
Patsy Gallacher scored on his official debut v Dunfermline Athletic (H) on the 9th Oct 1926, but had played as a trialist the previous week v Hearts (A).
David Cowan made his debut v Ayr Utd (A) in a league match which was subsequently expunged because Falkirk were found guilty of match rigging.
Hugh Murray scored in his League debut v Clyde (A) on the 12th Aug 1939, but the league was cancelled after five matches, due to war.