Around this time two years ago I visited the American
Civil War battlefield at Antietam.  There were a number
of major engagements there, one was at the sunken lane.
This was a road with a berm on each side.  This is
somewhat how I pictured Eliot's deep lane, especially
    Where you lean against a bank while a van passes,
    And the deep lane insists on the direction
    Into the village

I decided to Google "sunken lane" (without any qualifiers)
to see where Antietam might show up. It was #1.

I was surprised at #2, Wikipedia's "Sunken lane" at
which is a general article starting with:
    A sunken lane (also hollow way or holloway) is a road
    which has over time fallen significantly lower than the
    land on either side.

#3 was Google's images for "sunken lane" and #4 was for a
WW I battle.  Perhaps TSE used "deep" in place of "sunken"
to avoid alluding to the battle(s). ???

A deep lane at East Coker can be seen at this page:

     Rick Parker

Materer, Timothy J. wrote:
> Can anyone say what Eliot might mean in East Coker by "electric heat"?  
> "And the deep lane insists on the direction / Into the village, in the electric heat / Hypnotised."
> Maybe it has to do with the etymology of the word?
> Also, a question for those who are better acquainted with the mother tongue, is "deep lane" Eliot's original image, or is he using a common term for a road? 
> Timothy Materer
> English Department
> Univ. of Missouri