Josephus (Wars 5:4:2) writes amount the east wall of Yerushalayim, that at its end, "it was joined to the eastern stoa of the temple". Some (R' Yehosef Shwartz, in Tevu'os Ha'aretz chapter 7, Michael Avi-Yonah, in his famous model; the Holyland model, and others,) have understood this to mean that it joined the southeast corner of the Har Habayis, and the east wall of Har Habayis was also part of the east wall of the city, like it is today. However, this cannot be, as Rashi (סוכה נא ע"א ד"ה שלא היתה מאירה מאור בית השואיבה) seems to imply that (at least part) of Yerushalayim was to the east of the Har Habayis. Furthermore, the Gemarah (Shavuos 16a) talks about two areas on Har Hazeisim, which is located east of Yerushalayim, that were added to Yerushalayim.
I have added a new video of the Lishkos on the northern side of the first Beis Hamikdash..
My name is Mendel Lewis.
Hashem said to Yechezkel, "Its reading in the Torah is as great as its building. Go and say it to them, and they will occupy themselves to read the form of it in the Torah. And in reward for its reading, that they occupy themselves to read about it, I count it for them as if they were occupied with the building of it. (Tanchuma tzav 14)