I vote for a real machine too. I learned to sew on my mother's Singer 15-91 when I was 8 years old. My mother would not let me use it unless she was home. My main sewing projects were doll clothes and then I started making my one clothes too.
The little machine that you show is very much one that I bought many years ago and it does not sew well. The stitches are huge and it rattles like crazy.
It would be great if you could find her a sewing class.