Using the facility someone provided in post 135, I see there is now a 0654 in the new timetable from Kirkaldy (2K40) arriving Dalmeny at 0722 and not continuing to Edinburgh. I can't see where it goes next though. Nor can I find a corresponding evening service.
http://www.railwaydata.co.uk/timetables/May20/timetable.php?table=42
It terminates at Haymarket, but because the Haymarket row is showing departure times only, it hasn't generated a time here.
Realtimetrains will tell you that if you do a search for Dalmeny trains at 0722 on any weekday from 18 May 2020 onwards.
Notably, means booked use of Platform 0 at Haymarket.
https://www.realtimetrains.co.uk/train/C59293/2020-08-12/detailed