I have a pair of ASICS that I got a few years ago that are still going strong.  I knew my mom would love a pair for walking and since we have the same size feet I checked the size of my shoes and ordered hers in the same size.  I ordered the shoes in the white/liquid silver/island blue color.  When I received the shoes I tried them on before giving them to her and I noticed that they fit larger than my older ASICS shoes.  The size really wasn't an issue, but if you already own ASICS I would suggest you either order the same size in this shoe or even a half size smaller since they seem to run a bit big.