Paul has sent me pictures of two boundary stones recently. Here’s what we know. It’s a puzzle.

The first stone is on the Drayton Road, wedged between a wall and a bush, almost hidden behind a streetlight. The inscription faces a brick wall just a few inches away, and many of the letters have worn away with time.
The text appears to read something like:

?0 YARDS FROM
THE BRIDGE
?LONG THE???
HENCE IN ?
??RAIGHT ???
?? JUNCTION OF
?HE OCK RIVER
WITH THE LARK
??LL STREAM

With a bit of guesswork, it may originally have read:

“?0 YARDS FROM
THE BRIDGE
ALONG THE [PATH?]
HENCE IN A
STRAIGHT LINE
TO THE JUNCTION OF
THE OCK RIVER
WITH THE LARK
HILL STREAM”

This suggests a boundary line to the bridge on Drayton Road and then to a place where the River Ock meets the Lark Mill Stream. 
The second stone is on the Faringdon Road, directly opposite the entrance to Larkmead School. Paul cleared back some of the vegetation to reveal it properly. This one appears to have a carved cross at the top — likely the Abingdon Borough cross — and below that, some worn letters. One line may read MEN, possibly part of the word PARLIAMENTARY, and beneath that UNDA, which might be part of the word BOUNDARY.

Both stones appear to mark out old administrative or land boundaries.