I agree with you,,sorry daughter. Sounds like she has a great teacher!

black backing gets my vote

I'm going to split the vote here: I like her quilting idea but your idea for grey on the backing.

I would not like a black backing - catches every hair and speck of lint. But I do think it needs to be softeded up with some quilting that is swirly and fluid...not just straight lines.

So far.. its grey backing.... all over design, but, I want grey thread, Lisa likes the idea of yellow thread, with the bumble bee's... i like the butterflies... might have to throw in a couple of those bumble bee's and butterflies in the plain blocks.. so its just not lines going through them...
And I do agree about the black backing every piece of lint would show.
I might have her do the all over design and I will do the little critter's... !!!

wow this has been so helpful and a great learning experience for my daughter. Thank you to everyone who has commented .. :)

Gray back with simple quilting.

I'd like to see something wavy like the fabric in the block. I would go for gray backing as well. I like neutrals, and black may fade through to the colors when it's washed. Love your design.

I like the idea of a grey backing and an all over design is perfect with such a busy pattern on the top. I love the quilt though - don't give it away, keep it, it's beautiful.

light gray backing would be my choice

I say grey backing with all over simple design. It is a very attractive quilt top. Good job!