Hi D Anon, ref Agnes Watt, she may be Agnes Christiana Watt (married name Latham) however if she is it may throw the identity of Jane "Curly" Watt into doubt (I now see that Janes original DOB information came from the Jamaica Family History site, and possibly why the deails were even in the original GEDCOM) - while the information I've uploaded onto Jane's profile is correct for Jane "Curly" at least right up until as you say "why did she sail to Jamaica", suggestion was that she could have been sponsored by a distant family relative, that still could be true or else it's the wrong Jane!
Agnes (Watt) Latham was not yet married at the time of Jane's marriage so would have signed Agnes Watt,(she would have been about 16) - also Peter and Ann Watt (see below) were both deceased by 1867 (they died in 1865) perhaps explaining why Agnes and not them signed.
Agnes Christiana (Watt) Latham parents are unknown, various trees have different ideas, however one possibility is that she could be the daughter, or ward?, of Peter Watt and Ann Watt (nee unknown) who both died in Westmoreland, Jamaica in 1865 (13th Sep and 9th Sep respectively) - see: FamilySearch record source (entries 144 & 145)
Jane Watt and John Dazzlewright Sangster name one of their sons Peter Watt Sangster. and in his will John Dazzlwright Sangster bequeaths a part of his property to Agnes C Latham
To Agnes Christine Latham part of Fullerswood Park known as Clove Pond 14 acres or thereabouts for her sole use and benefit for ever.
Agnes died in 1929, and a newspaper obituary (copyright image on Ancestry?) says she is the Aunt of Hon P.W. Sangster and C Sangster (his brother Charles?)
This would of course suggest that Agnes is the sister of Jane, however Jane "Curly" did not have a sister named Agnes, could it be that Peter Watt is the connection/sponsor for them both? I can't find a birth for Agnes Christiana Watt, nor the Peter Watt or Ann in Scotland.
Also just another thought could it be that that's why Jane travelled, (if this is the right Jane!) to be a Guardian of Agnes and Nurse due to the failing health of Peter and Ann Watt it would have been the right time in that 1861 - 1865 window.
Jane would have been about 10 years older than Agnes, so it's possible she became her "Aunt" in name only if this was the case (i.e. her Guardian)
The Sangsters themselves also go back to Gamrie in Banffshire, so there could have been an older connection with the Watts and Sangsters.
In all there is no way to prove any of this, and it involves a lot of supposing, also it could well be that birth details on the JFH site for Jane are not right for John D Sangsters Jane, meaning she's not Jane "Curly" after all.. I don't know how reliable that information would be.
quite the puzzle, for sure!