Omega Pilot 53 Thin Arrow 6B/542 - History

Hi, I'm currently have a 1953 Omega Pilot 53 Thin Arrow 6B/542 RAF that I've inherited and am selling on eBay. It has the original face/dial and hence it still has it's "thin arrow".

The watch back is marked 6645 101000, 6B/542, 10696/53
The images are in the link below

However, I'm trying to find out any history of its user/squadron of the RAF. I'm not sure if anyone has every tried to find out such information but any pointers would be appreciated.

Thanks
Simon

Please note - I am not selling the watch on OmegaForums. I'm trying to get help on the history of the watch. Thanks. Simon