Hi MarilynR, sorry I do not have any old pics only up to date ones. My relatives lived in Hill of Beath in 1891, unfortunatley the census only says No22 so do not know which row. They were the Cummings and by 1901 they had moved to Kingseat. Possibly the Laings also lived in H O B at some point as my Granmother (a Laing) said the family lived there. However she might have meant Mary Cumming as she was my gran's aunt and originally a Laing.
if i am reading your map correctly they is nothing on the ground now where the Square used to be.
Cheers Evelina