UK Based and the term comes from the old days when Boards and office based Bookmakers and their odds compilers priced up early races , usually in the morning and occasionally the night before. Nowadays the term is used over here in the same way as your "Morning Line" and most professionals here have always worked off an odds based / value approach with ratings being the cornerstone and i would suggest rather than looking for a service to compile these for you , why not try it yourself?. There have been several articles published by Simon Rowlands formerly of Timeform , who CJ will recognise and they are worth reading (in fact anything by SR is worth reading , latest stuff on stride length etc is very forward thinking)
If i remember right Raybo on here managed to compile an excel sheet based on a ratings to odds formula from one of Simon's older articles and the sheet was available for download (try searching)
A couple of links -
https://www.timeform.com/horse-racin...-race-15102015
The excel formulas used by SR is explained in an article in this
https://s3-eu-west-1.amazonaws.com/o...DFSIssue10.pdf
The whole 20 part Timeform Knowledge written by SR is also great reading and is available on the UK Timeform website.