Milburn’s Yard was off the north side of Battle Hill.
It appears from the 1901 and 1911 censuses that the entry to the Yard from Battle Hill was most probably through the archway which lies between numbers 9 and 11 Battle Hill, which you can see in this photo
https://britishlistedbuildings.co.uk/101370773-11-battlehill-hexham#.ZCcLbHbMKUk
A clearance order for demolition of Milburn’s Yard was issued in 1935 under the Housing Acts 1925 – 1935. The site of the buildings is now part of St Mary’s Wynd.
Jennifer Britton