Yes. Google for Sidney Cotton. He used a Lockheed Electra outfitted with cameras. He worked for MI6 though, not the RAF.
There's nothing official about that. It's a calculated figure, using some dubious assumptions.
The highest speed by a prop fighter officially recorded, and probably the highest reached with a successfull pullout (ie not including aircraft which broke up in the air) was mach 0.891 by a Spitfire XI piloted by Sqd ldr Tobin in 1944. That was 609 mph IAS.
Normal air speed indicators were not accurate in very high speed dives. P-38 pilots frequently reported exceeding the speed of sound in dives, they didn't come close either.
Because it had a higher critical mach, thanks to it's thinner wings. That means it experienced mach divergent drag at higher speeds than the P-47 or P-38 (the P-38 was in fact one of the worst fighters at high mach numbers, and had a very low limit)
This is from an RAE report about their dive tests:
Note the later onset of MDD, which quickly dwarfs all other forms of drag. In other words, above about mach 0.75 the Spitfire has less drag, despite it's large wings. That's the beauty of thin wings.
That's why it's no use relying on an ASI at very high speeds.
The P-38 had the lowest mach limit of the big 3 US fighters. The P-47 was next, the P-51 best. Both the P-38 and P-47 had to be fitted with dive recovery flaps because of their low critical mach.
The placarded limits were mach 0.68 for the P-38, 0.8 for the P-51B, somewhat lower for the P-51D, about 0.72 for the P-47 (iirc) and 0.85 for the Spitfire.
The Spitfire high speed dive trials were carried out by the Royal Aircraft Establishment at Farnborough. The various service limits I listed above were found by various test pilots, for both the USAAF and RAF.