The small collection comprises mainly dictates, notes and lectures, as well as some personal papers. The main references are:

James Gregory (1638-1675):

- ms31009-31011 Papers, 1662-1675, which includes letters from John Collins to James Gregory, with notes in Gregory's hand (vol. 1 of Gregory papers), also microfilm copy;
- ms5554 Photostat copy of letter to John Flamsteed, Astronomer Royal concerning building of observatory in St Andrews University, 1674;
- msQA501.G8 (ms26) Copy Geometrica practica, (Andreapoli, 1696);
- r17QB41.L2C32 [Mathematical notes on the end-paper of P. Lansbergii Tabulae motuum coelestium perpetuae, 1632: said to be probably in Gregory's hand];
- ms31012 HW Turnbull (ed.), Tercentenary Memorial Volume, (St Andrews, 1939) containing his correspondence with John Collins and his hitherto unpublished mathematical manuscripts, together with addresses and essays communicated to the Royal Society of Edinburgh, 4 July 1938, being Professor Turnbull's manuscript for the work. Parts are typewritten, parts transcribed by other hands. Includes transcriptions from volume 1 of Gregory papers as msQA33.G8D2.

David Gregory (1661-1708):

- ms31010 David Gregory's copy of notes by Leibnitz, 46ff. (vol. 2 of Gregory papers);
- in msQA33.G8D2 Geometria practica Mro. Davide Gregorio, 72pp., quarto, dated 15 June 1727 on p. 72;
- msQA33.G8D13 (ms2) Lectures on algebra, 184pp., undated [noted as clearly not in the hand of David Gregory, basis of ascription to him is uncertain];
- msQA33.G8D1 (ms6) Lectiones mathematiae habitae in auditorio publico Academia Edinburgenae a mense Decembr. MDCLXXXIII ad mensem Junii MDCLXXXVI a Davide Gregorio in eadem Academia matheseos Professore, 478pp., quarto, 1683-1686;
- msQC361.G8 (ms1064) Davidis Gregorie in Academia Edinburgensi Matheseos Professoris Lectiones Opticae habita in Scholis Publicis, 1684, 148 pp.;
- ms31010 Notes of fluxions, 23ff. (Vol 3 of Gregory papers);
- msQA33.G8D12 (ms3) Problemata mathematica, undated, 38ff.;
- msQA33.G8D2 (ms4) Tractatus de logarithmis eorumque sus Doctore Davide Gregoreo, 26 pp. quarto, dated 20 June 1727 on p. 26;

David Gregory (1712-1765), Professor of Mathematics at St Andrews, 1739-1764:

- in msQA35.G8L4 (ms25) Books lent since October 1st 1751, undated; Caput 2dum. Compectens varia problemata circa motum astrorum communem. calculo trigonometrico expedita, undated, unfinished, 8pp.; Institutionem astronomicarum pars quarta. De theoria planetarum [ca. 1750]; [Manuscript lists of students of David Gregory when Professor in the University of St Andrews, 1739-64]; [Mathematical notes, ca. 1740]; [Notes of income and expenditure, ca. 1746-48]; [A suggested course of reading in theology, 1 p., 17--];
- in msQA29.G7 (ms915)[Essay on friendship etc., ca. 1760], 4pp.; [Essay on the unity of letters and the sciences, ca. 1760], 21 pp.; [Gardening notes, ca. 1745]; Geometria de motu. Pars prima (secunda), 2 part, [ca. 1760], unfinished; [Household accounts], 12 pp., + 9 at end of volume, 1742-44; [Notes of 22 bursaries and one legacy left by 13 benefactors to the University of St Andrews, 1622-1755, [ca. 1760], 10pp.; Out of Mr Martin of Clermont's Account of the City of St Andrews [9pp. of extracts from George Martine's Reliquiae Divi Andrea, 1685, [ca. 1750];
- msQA35.G8T2 (ms59) Copy testament of David Gregory, dated at St Andrews, 10 April 1765.