I did ask her on our walk together, she said something along the lines of "Yeah, i could see us being together"
I have to preface my response with a disclaimer: I don't speak female very well.
But even to my admittedly dense and out of practice ears this sounds a lot more like a yes than a no.
Of course a lot of it depends on what kind of expression she had on her face when she said it, but unless she seemed really uncomfortable breaching the subject at all, I would take this as a good sign.
but I don't know how sincere it was because she didn't say anything other than that.
Remember she's probably trying to play it cool too.