In mapping precession of the equinox, three circles provide points of reference. The zodiac ecliptic is the basically unchanging path of the sun against the background stars. The zodiac crosses the equally unchanging plane of the Milky Way Galaxy. Plotted on the celestial dome, the zodiac and the galaxy are unmoving great circles, joined near the opposite constellations of Taurus and Scorpio.
From the terrestrial perspective, the factor that moves, the third circle, is the celestial equator, marking the projection into space of the earth's equator. The precession of earth's orbital spin axis is mapped by the moving nodes where the zodiac crosses the equator. Stars shift between northern and southern hemispheres as a result of the wobble of the axis.
The nodes joining the celestial equator and the ecliptic are the two equinox points where the sun shifts hemisphere. These points move around the zodiac in a similar way to the nodes of the moon precessing around the lunar orbital path. Just as the moving intersection between the two circles of the lunar orbit and the ecliptic produces the eclipse cycles, the intersection between the zodiac and the celestial equator produces the precession of the equinox.
As the zodiac node points move around the ecliptic over the course of the precession cycle, the celestial equator also sweeps across different stars. With the polar axis stars moving around a circle with diameter twice the angle of the earth's tilt of 23.44 degrees, the celestial equator similarly moves up and down across nearly 47 degrees of the sky.
As I understand it, this means that stars which are now just closer to the pole than the equator (ie up to 46.88 degrees latitude) were in the opposite hemisphere about 12,880 years ago. This applies (I think) for the stars at the longitude of the celestial equator furthest from the zodiac node points.
I've posted this just to note down some features of the astronomy of precession and check if my description is correct. I'm not sure if the concept of equinoxes as zodiac nodes has been much discussed, and would welcome comment, especially if my explanation here has any errors.