Sorry, I don't quite follow you. Why did you think her name was Shand?
I got the birth information from the IGI at FamilySearch and the 1881 census from the CD-ROM transcription by the LDS. If I were going to follow her up in my own tree I would also look at the originals on SP to make sure that there were no indexing or transcription errors.
Don't read anything into spelling. It could be Alexanderina, Alexandrina, Alexandra, Alexandria, Alexina or any number of other variants, and it's probably different on different documents. I would use Alex*a to search on SP because that will find all the feminine variants but none of the masculine ones.
If her father's name was Shand, she could appear on other records as Alex*a Shand. It's quite common for illegitimate children to appear in different records with different surnames - sometimes the father's and sometimes the mother's.
If I were you I would look for her in FreeCEN. Use the old version
https://freecen1.freecen.org.uk/cgi/search.pl because it's much more user-friendly than the new version. See if you can find her in the 1861 and 1871 census.
There are two deaths of Alex*a Shands born 1860 plus or minus two years on SP. There are five Alex*a Forbes of similar age. Two have mothers who were not Forbes, one has a middle name of Fraser which seems unlikely to be yours, and it so happens that I have at some point looked at the page including the one in Montrose who died in 1889, so I can tell you that she isn't yours either.
So that leaves three
Alexanderina Dickson or Forbes, died in Glasgow Dennistoun in 1920 aged 61, but she is probably Alexa Forbes who married James Forbes in 1890 in Glasgow Kelvin.
Alexina Shand, died 1924 in Huntly aged 63, but an Alexina Shand was born in Huntly in 1860.
Alexandrina Pert or Shand or Yeats, died 1946 in Montrose aged 86, but an Alexanderina Pert married David Shand in Montrose in 1899.
So unless her age at death in the SP is out by more than two years, she didn't die in Scotland.