Should I wear, black or navy hosiery?

Should I wear, black or navy hosiery? I am planning to wear a knee-length navy blue chiffon dress with strappy navy shoes- for a Saturday afternoon wedding. I am an older short woman.

Your knee-length navy blue chiffon dress with strappy navy shoes sounds awesome for a Saturday afternoon wedding. Ultra sheer black hosiery would look fantastic with your outfit. You can then carry a black or navy bag.

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Can I wear black stockings with open-toe shoes?
You can definitely wear sheer black stockings, black opaque stockings, or black tights with open-toe shoes. In general, a colored sheer stocking looks OK with a peep toe shoe.  However today fashion experts say never wear neutral color stockings with open-toed shoes or sandals. It gives you a web-footed look.

Should I wear navy or black hosiery with a navy dress?

Black hosiery instead of navy hosiery would be my choice to wear with black shoes and your navy dress. Sheer black hose/stockings would be dressier than black tights. Carry a black clutch or evening bag. The black bag will coordinate with your black hose and shoes. You can wear your red coat with a black velvet collar. It will look fabulous with your black bag, black hose, and black shoes.