It might be worth investing in one or two civil birth certs. These generally show a more detailed location - e.g. for rural areas you would normally see a townland name, in a town it might be a street name, but can just be the name of the town. A civil cert would also give father's occupation, which can sometimes help.
If you get a townland name you can work back to Griffith's, and if this Flanagan family were farmers you can look for them at the same location on the Tithes. Similarly you can then work forward to the same townland on the two census returns to hopefully find some of the same family... if they stayed 'at home'
Shane