As a child I was a bookworm. My mum used to offer to sell me to the bookshop as she spent so much money on books for me!
We also went to the local, tiny, library. I have very limited memories of a favourite book that I used to get out time after time, I'm sure my mum dreaded it! I'm sure she would remember it for the number of times I borrowed it if nothing else but sadly she's no longer around to ask.
I think that there were 2 or 3 books about the same boy. He lived in a block of flats. I think his name began with a T. I can see a drawing from the book, of him walking down a squareish stairwell in the flats. I think that one of the books was about him having a new sibling. It was a picture book, late 1970s. Reading interest similar to Topsy and Tim, but with a more interesting story! These are the details as I remember them, I have a reasonable memory but even I'm not convinced that I've correctly remembered the details or the most important bits!!
PLEASE help MN, it's keeping me up late at night and I've no idea how else to find the answer.