I have always had a fascination with this Branch, having lived about four miles away from it, but missing the chance of actually travelling over it before it closed.
Looking at the history of the line it is worth perhaps looking at what was actually proposed before it was built. It seems to have always been promoted as a line from Harrow, and there were several Parliamentary Bills put forward with the titles, Edgware, Stanmore and Harrow Railway, Edgware and Harrow Junction Railway, and Ealing, Harrow and Edgware Railway. So it seems that the Branch was originally intended to run from Stanmore to Edgware. (I'm sure I 've read somewhere that an 'end on' connection was envisaged with the GN's Finsbury Park to Edgware line).
One of the original proposals would have seen the line leave Harrow in the same general direction as built, but from near the present Grasmere Gardens the line would head north west, passing the western end of Gordon Avenue, crossing the Uxbridge Road, and then swinging east to a terminus on the north side of the Uxbridge Road at Green Lane. This would have put it in a good position to continue to Edgware GN.
It wasn't to be as the necessary capital couldn't be raised, and the line was eventually built to the shorter alignment to the terminus at Gordon Avenue/Old Church Lane, and no further mention seems to be made of projecting the line towards its original goal of Edgware.
Many years later I was tempted to bring the Stanmore branch back to life in model form (space limitations led to only the junction at Harrow being modelled !).
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