Unless I am missing something, barrier was pointing out that 'towards Murat's' or 'towards Casa Liliana' have significant connotations, whereas 'heading East', or equivalent, does not. And that Jane Tanner did not dump such significant connotations into her statement.
I asked the question through puzzlement as to why Jane Tanner would have mentioned Murat or if you like Murat's.
Barrier raised the issue and could perhaps give an appropriate answer.
Snip
Meanwhile a man appeared ( * ) carrying a child (**), with a hurried walk, it being this detail together with the fact that the child dressed in pyjamas, without being wrapped up in a blanket, that caught her attention. She only managed to see him from the side, with the child in his arms. She noticed the individual's presence exactly when she had just passed by Gerry and Jez who were talking, having seen this person step off the pavement that borders on the apartment block where they were staying and rapidly cross the road.
The entrance to the apartment building (1) is exactly at the place (street) where the individual appeared from.
http://www.mccannpjfiles.co.uk/PJ/JANE-TANNER.htm