Don't know if you know - Ritchie's Court was off Coates Street - Coates Street no longer exists but interesected Townsend Street which does. Townsend Street and Castle Street - where my John ran a Blacksmith business in 1865 (Belfast Directory) intersect.
Ritchie's Court was about a 10 minute walk to St Mary's where Alexander senior & Sarah Heyburn married.
I have some "new" old O/S maps off Central & north Belfast.
Una