As you may have gathered from some of these responses, some 'music parents' are quite 'pushy' and anticipate their children taking music VERY seriously.
But Yes, that is a very long time to be working towards Grade 1, so I would think you could do better to try another teacher, but not aim too high at first.
It is also important to LISTEN to a wide range of music, orchestral, chamber music etc. If she also wants to 'dabble' in pop, folk, rock, stage shows etc let her try it. Sheet music or tutor books can often be found in charity shops and car boot sales.
There is also a lot of tuition and music 'on line' and look at the ABRSM web site, and I think they also have a Forum.
This free site may be worth looking at:
www.8notes.com/violin/
It is also useful to start to learn Theory, and to play piano or Keyboard; the Yamaha 'Piaggero' range are good, and this is their top model:
www.yamahamusiclondon.com/NPV80-Piaggero-Digital-Keyboard/pidYAM-NPV80
If you can purchase via school or a County music service you can often get cheaper, without paying VAT.
('Search' my other music replies, and come back if you need more help.)