Hi there:) Your feeding routine is similar to what I was doing at that time. It wasn't the 'intervals' between feeds that bothered me. More the number of feeds in a day. I was very worried about my supply dropping. However, I started having a problem with the BT feed. If I fed on wake up from nap 2, she was not hungry enough at BT and wouldn't nurse properly. So I cut that one and kept the second pm feed at 3/3.30 pm latest. I also wasn't giving her much in the way of solids earlier but then I realised that it was another opportunity to add to her milk intake - porridge/pudding/milkshakes etc. So now we nurse on WU, after nap 1, at 3/3.30 and BT with solids one hour after morning nurse but directly after afternoon nurse so that she nurses again with me later. Hope that makes sense:)
I don't think you should worry about her solids intake. In the first year, they are more for fun & exploration than as a source of nutrition. She will still be getting all that from her milk. Btw, if she doesn't like purees, why not try Baby Led Weaning? That is what I am doing and it is going great!
Many 6 month olds do need 1 or 2 night feeds still, so it is completely normal. There is also a huge growth spurt at that time, which I feel may be the cause of these wakings. The fact that she is going back to sleep on her own after these wakings does say to me that she is hungry. If it is a growth spurt, then the solution is to up calories during the day - so could you try giving her a milkshake or porridge? Even 1 or 2 oz extra could make a difference. Or maybe try cluster feeding if she will accept it?