Internationals
McGrory gained seven caps for the Scottish national team, although he did have a very respectable return of six goals in those games. He was often overlooked in favour of Hughie Gallacher, who along with Dixie Dean of England and McGrory, were the most prolific scorers in British football throughout the 1920s and 1930s. While neither would be as prolific as McGrory at Club level, both men had extremely admirable international tallies, Dean with 18 goals from 16 England caps and Gallacher, with 23 from 20 outings, for Scotland.
| # | Date | Venue | Opponent | Score | Result | Competition |
|---|---|---|---|---|---|---|
| 1 | 25 February 1928 | Firhill Park, Glasgow | Ireland | – | 0–1 | BHC |
| 2 | 28 March 1931 | Hampden Park, Glasgow | England | 2–0 | 2–0 | BHC |
| 3 | 19 September 1931 | Ibrox Park, Glasgow | Ireland | 3–1 | 3–1 | BHC |
| 4 | 31 October 1931 | Racecourse Ground, Wrexham | Wales | 2–3 | 2–3 | BHC |
| 5 | 17 September 1932 | Windsor Park, Belfast | Ireland | 0–3 | 0–4 | BHC |
| 6 | 1 April 1933 | Hampden Park, Glasgow | England | 1–0 | 2–0 | BHC |
| 7 | 1 April 1933 | Hampden Park, Glasgow | England | 2–0 | 2–0 | BHC |
| 8 | 16 September 1933 | Celtic Park, Glasgow | Ireland | – | 1–2 | BHC |
McGrory, also played in the following 6 Inter League matches, scoring 6 times.
- Scottish League v Irish League (Tyncastle Park, Edinburgh, 27 October 1926) 5–2 (1 Goal)
- English League v Scottish League (Filbert Street, Leicester, 19 March 1927) 2–2 (1 Goal)
- Scottish League v English League (Ibrox Park, Glasgow, 10 March 1928) 2–6 (2 Goals)
- English League v Scottish League (Villa Park, Birmingham, 7 November 1928) 2–1
- Scottish League v English League (Celtic Park, Glasgow, 7 November 1931) 4–3 (2 Goals)
- Scottish League v English League (Ibrox Park, Glasgow, 30 October 1935) 2–2
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