RAF Museum Hendon holds a range of records relating to individual aircraft, see the linked page for details.
Collections Detail page Photographs Photographic collection Charles Brown Collection Jack Bruce Collection British Aerospace Kingston Aerial photography Request images Fine art Medals & uniforms Film & sound …
If you go to that page on their website, have a look at the 'Archive Collection' listing down the left hand side of the page for details of other archive material in their collection with links to go to descriptions of that material.
However, a quick look in the aircraft details included in 'Spitfire the History' by Morgan & Shacklady gives the following as extracted from the Form 78.
W3827 2015 Holt V FF 29-8-41 24MU 29-8 316S 17-10 FACE 26-3 42 SOC