I've located the old Jurong railway thanks to a 1995 street directory:
The Jurong railway branch branches off the main railway from near Bukit Timah Railway Station.
Going diagonally, it goes under Clementi Road, beside Sunset Way flats, with a rail bridge across Sunset Way.
Across Sungei Ulu Pandan, below Clementi Ave 4 and Commonwealth Ave West (beside ITE Clementi). Under Faber Heights (name of road).
It then goes along AYE, crossing Sungei Pandan and going to Teban Gardens estate, crossing under AYE below the interchange with Jurong Town Hall Road.
It goes behind Blk 9, 10, 11, 12, 14, 20, 21 (along Teban Gardens Crescent on the other side). Crosses Penjuru Road at level crossing.
Moving slightly north again, along AYE, crossing Sungei Jurong. Then at the junction of Yuan Ching Road/AYE (Jln Ahmand Ibrahim), it turns southwest.
Branch 1:
Branches off just after Yuan Ching Road, crosses Jalan Terusan at level crossing before Jalan Besut.
It goes south, between Blks 5, 4 & 3 Jurong Port Road (not sure if these HDB blocks are still there) and Jurong Abattoir.
Crossing Jalan Buroh at level, this branch crosses Jalan Tepong and ends along it. Just before the end of the road itself.
Branch 2:
This branch branches off just after Jurong Port Road. Makes a tight turn south, crossing Jalan Buroh, ends within Jurong Port in front of Blk J15.
The railway has a short spur, running beside Blk J16A. (Might be railway station? :? )
Main line:
This is the main line. It travels diagonally straight, in southwest direction. Crosses at Jalan Buroh/Jurong Pier Road junction.
It's parallel with Jalan Buroh, but behind the factories.
Crossing Tanjong Kling Road at level, it goes along Shipyard Road, across Refinery Road and ends along Shipyard Road.
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Some sections of the railway had been dismantled.
The railway along Tanjong Kling Road is still there, badly overgrown. Even the old railway signs, railway crossing arms are there.
Anyone planning on exploring the Jurong railway, be careful of the section near Jurong Abattoir. It stinks very horribily!!!