Depends how long the yard has been there, I'm now thinking. There was also, in 1861, one of Bedlington's largest "licensed lodging houses" on Muggers Corner (west corner of Mugger's Nook - Mugger's Neuk in the Bedlington dialect) run by one Eliza Phillips. This must have faced what later became known as Phillips Yard when the third house, adjoining the Cross Inn was built. I've been having a look at area of the main street and market place through the census records and I've actually found a Phillips Yard registered in 1871. However, that yard is at the top end of the town opening out onto Glebe Row. It consisted of five dwellings of which one was occupied by Septimus Phillips, a coachman born in Morpeth - as were the Phillips from the Cross Tavern. Maybe related? So that's another bit of history Doreen has confirmed in naming the market place yard.
Sorry to hear about Doreen, Vic, it's a tough decision to make! However, you've done a great job nursing her at home as you've done. I take my hat off to you! I'm pleased you've found somewhere local which should make visiting and maintaining family contact a bit easier for you.
PS That must be Heppell's the baker Dorren remembers. It can be seen on the 1938 photo of the market cross posted by Eggy.