Hokey-dokey..............
For the years 1903 to 1908, putting Jennie and Jenny Kellett and Kellet into the Scotlands People site brought zero returns !?!
Putting the surname only in brought 1(one) result, Unfortunately, I can't see it as I would need to pay...............
Here is a link to the site, perhaps you may wish to have a look ?
http://www.scotlandspeople.gov.uk/
Just one thing...........are you SURE she was Scottish ? Kellett is a name common to Cumberland/Cumbria.
Family history had it that my great-grandmother was a Stewart born in Scotland..........she was a Stewart, but born here in Lancashire :o)