LinodesLeather Jazz Shoe Slip On (Toddler/Little Kid/Big Kid) with Elastic Top Piece

My daughter has a wide foot, should I order up a size. Not sure if these tend to run small or not.

My daughter wears size 10 in sneakers, what size should i get her in those shoes?

What is the recommended size for a 4 year old that typically wears a size 8 shoe?

Is this faux leather?