While east half of the east half may be correct, I have seen many times the use of something like "the east one quarter". The result would be identical.
As to the question posted, assuming a standard PLSS section: the east one-quarter of the southwest quarter of the northwest quarter of x,y,z and the east one-quarter of the northwest quarter of the southwest quarter of x,y,z and the east one-quarter of the southwest quarter of the southwest quarter of x,y,z.....and the southeast quarter of the northwest quarter of x,y,z and the east half of the southwest quarter of x,y,z.
In the rare situation where there is an accepted bend in the quarter section line running from the center of section to the south quarter corner it would be better to describe the last parcel listed above as the northeast quarter of the southwest quarter of x,y,z and the southeast quarter of the southwest quarter of x,y,z.
x,y,z representing Section XX, Township YY South, Range ZZ East or whatever it is.
Some will swear there is never a bend as I have suggested above. Others can cite examples of where such oddities do, in fact, exist.
I see that I should have said E½ of the E½. oops. My main point remains the same.
The majority of 1/16 and 64th Corners around here were not set by the GLO. While no angle points were generally intended, it happened. In fact it happened a lot. I for one will gladly accept evidence of a Corner before imposing mathematical violence on the neighborhood. ..
Because then you don't know what is left.
I assume the section is not lotted and the 330 ft is meant to be aliquout.
I would describe the shaded area as such.
The E 1/2 and the E 1/2 of the E 1/2 of the W 1/2 of the SW 1/4, the SE 1/4 of the NW 1/4 and the E 1/2 of the E 1/2 of the SW 1/4 of the NW 1/4, section 8, T 10 S, R 10 E, Willamette Meridian.
Section, Township and Range add for clarity.
I hope I remembered the picture right.