The footage of Elizabeth Shaw addressing Peter Weyland was an actual screentest of Noomi Rapace for Prometheus (2012).
Although Elizabeth's message is directed at Peter Weyland, the name "Yutani Corporation" can be seen superimposed onto it on a few occasions. In the text accompanying this video on the Prometheus (2012) Blu-Ray, Weyland mentions that this "Yutani" had analyzed and done a report on Shaw's video. Furthermore, Weyland mentions "Yutani's new ECIU software", implying that it has translated the alien transmission coming from LV-426 in Alien - O 8º Passageiro (1979). This would all indicate that YutaniCorp was one of Weyland's affiliates, concerned with researching and analyzing data, before their companies merged and became the infamous 'Weyland-Yutani' Company referenced in Alien and its sequels.
In the text screen accompanying this promotion video on the Prometheus (2012) Blu-Ray bonus features, Peter Weyland mentions that the moon LV-223 is Elizabeth Shaw's "primary site of interest" (probably because it is the only moon that can sustain life). However, Weyland also mentions that his science division has detected a very faint transmission coming from its neighboring moon, LV-426, one that promises "great risk" (this would of course be the 'warning signal' later picked up by the Nostromo in Alien - O 8º Passageiro (1979)). Weyland continues to explain that David was put on the Prometheus mission to "address and exploit whatever assets we secure on [LV-]223", and that David would withhold the information about the LV-426 signal from the entire crew (including Vickers) "until the time is right". Needless to say, after the failure of the mission on LV-223, David was in no condition to check out the signal on LV-426, but this would explain how the Weyland-Yutani Company already knew about the warning signal, and decided to re-route the Nostromo to pick it up in Alien - O 8º Passageiro (1979). The text was written in cooperation with Prometheus director Ridley Scott, who apparently approved of this idea.
This promotional video for Prometheus (2012) was produced by Blu-Ray producer Charles de Lauzirika, who also wrote the accompanying text screens that provide more background to the movie. De Lauzirika has stated that he intended these bonus features more as funny Easter eggs than truly canonical ("just icing on top of icing. It's not the cake"), especially the embedded text graphics on the menus. However, the information behind these Peter Weyland Files originated with Prometheus director Ridley Scott and writer Damon Lindelof, and since Scott approved these features without comment, they could be considered canon to a degree.