E.B.
Take her in and have her fitted at Nordstroms.
You are sadly gonna have to pay a bit more if you want her in something with structure now.
The Staff at Nordstroms is trained to fit even the toughest children's feet(I know this because I worked in shoes at Nordstroms for a long time)
I love See Kay run shoes..But they are for wider feet(which was our problem here).
I know most people will disagree...but for narrow feet a high top Converse is not to bad. They are softer in the sole which is something a 9 month old kiddo needs.
If you seem to not be able to find anything that works...Socks are a buy-able solution. At least until it is easier to find shoes that will fit her better.