"... the fog shrouding the expansion of the universe had finally lifted ... Once Hubble's paper appeared, most physicists realized that expansion and Einstein's theory are naturally compatible."
Is that really true? Did Hubble's paper immediately open people's eyes to the realization that we are in an expanding universe?
Not at all. Hubble's paper appeared in March 1929. Plaskett (1932 PASP, 44, 215) conveyed the situation at the time:
"I distinctly remember being present at the meeting of this section [the Pacific Division] of the American Association for the Advancement of Science at Berkeley in [June] 1929, when NO ONE appeared to have the temerity to suggest that Hubble's recently announced velocity-distance relation represented an actual recession of the nebulae."
I have found seven papers published over the next fourteen months that cited Hubble. Not a single one mentioned the expansion of the universe. Hubble himself thought his data would shed light on the de Sitter effect , but at the time de Sitter's metric was interpreted as representing a static (or stationary) universe.
Plaskett also related a story about attending a RAS meeting: "... I was ... present in London at the May 1930 meeting of the Royal Astronomical Society when Eddington announced - the FIRST TIME to my knowledge that it had been DIRECTLY and UNAMBIGUOUSLY stated at an astronomical meeting - that the RED-SHIFT was due to the EXPANSION of the UNIVERSE." Eddington was giving a preview of his MNRAS paper. De Sitter was also present (1930, Observatory, 53, 161).
"In my opinion, Hubble justifiably deserves credit for the discovery of the expansion of the universe."As Sandage has pointed out (1989, in "Hubble Deep Field"), Hubble did not believe in an expanding universe. The term appeared only once in the title of a paper of his (1942, American Scientist, 30, #2) and he considered an expanding universe model to be unsatisfactory, preferring a model that is static and infinite, but with the redshifts due to some unknown cause. E.G., "If red shifts are velocity shifts which measure the rate of expansion, the expanding models are definitely inconsistent with the observations unless a large positive curvature (small, closed universe) is postulated." (1936, ApJ, 84, 517).
Lemaitre would seem to be the most deserving of the accolade since, in 1927, two years before Hubble's paper, he wrote explicitly, "The receding velocities of extragalactic nebulae are a cosmical effect of the expansion of the universe." However, as Ian Steer has pointed out (2011, JRASC, 105, 18), "Success goes not to the first to make discoveries to their own satisfaction but rather to the first to prove them to the satisfaction of others." Lemaitre's paper was published in a little-read journal, unnoticed by others, the copy he sent to Eddington was forgotten, and the one person who knew about it, Einstein, did not believe it. Eventually he did convince others, but it was done through the voices of Eddington and de Sitter. Further, one could say that Weyl (1923 Raum Zeit, Materie; 1923 Phys. Zeitschr, 24, 230) was actually the first to derive Hubble's law in an expanding universe, although his derivation was rather opaque, and his expanding universe was embedded in pure de Sitter space, which is the end-state of Lemaitre's.
Robertson (1928, Phil. Mag., 7, 835) unknowingly repeated much of Weyl's and Lemaitre's work, including deriving the velocity-distance relationship, but he did not explictly describe his cosmological model as representing an expanding universe. Curiously, Eddington is listed as the one who communicated it to the journal, but he seems to have missed its significance. So Robertson cannot be awarded credit either.
In summary the question of who discovered the expansion of the universe has no easy answer. It is much easier to answer when it was discovered, and the the most fitting time would seem to be Plaskett's account of listening to Eddington at the May, 1930 RAS meeting. Fourteen months late.
Weyl also wrote a paper (1930, Phil. Mag., 9, 936) in response to Hubble's, and even though he he had derived Hubble's law in 1923, he expressed caution about saying that his model was the proper explanation for Hubble's data (calling it "speculative"), as opposed to, say, Zwicky's tired light theory or some other effect. Thus, he straddled the fence. The text was written in 1929; the actual data of publication is a little unclear (possibly June of 1930). The bulk of the paper was actually a clarification of his 1923 paper, stating that it was equivalent to Robertson's 1928 work. Weyl referred to his model as one of relativistic cosmology offering a "geometric" explanation of Hubble's "strange phenomenon".