Dan,
I have been playing guitar for around 8 years now and that is awesome finger picking for someone who in only 8 weeks in, not to mention the fact that she can already sing and play. Whether it becomes a life long passion or is just a emotional outlet you should in courage her, she has some real musical talent.
I agree Alker. I do encourage her, you bet! Only 8 weeks in she is pretty darn good.
She has never had a "traditional" music class of any sort. The last few months she's been watching some YouTube tutorials and practicing quite a bit.
I believe playing music is going to be her lifelong passion and emotional outlet. I can't think of any better way.
Of course, this is her dad talking and bias is normal.