I think you're pretty close.
They do have the mottling gene (makes the white feather tips with black behind them.)
And they do have the Mahogany gene (makes gold into a darker red).
I think they also have E^Wh (Wheaten) and Co (Columbian), which are the other main color genes found in Rhode Island Red and other such red/mahogany birds.
I don't know Jubilee Orpingtons very well, so I spent some time picking through this thread trying to figure it out:
https://www.backyardchickens.com/threads/the-imported-english-jubilee-orpington-thread.582401/
I couldn't find an authoritative answer, but several people did mention the combination of genes that I listed above.
And there are quite a few genes they obviously do not have:
not silver
not Dominant White (turns black to white)
not blue/splash
not chocolate
not lavender
not cream or any other gene that dilutes gold to a pale shade
not recessive white
@nicalandia are Jubilee Orpingtons E^Wh, Co, Mh, mo, wild-type at all other color loci? Or am I missing something important?