The charges, both for alleged improper conduct, are in relation to an incident following Wednesday midfielder Danny Pugh's heavy challenge on Albion's Inigo Calderon.
His subsequent booking sparked a furious reaction from the visiting bench and the ensuing bust-up, which involved players and staff from both benches, saw Jones and Oatway sent to the stands as stewards and police tried to restore order.
Jones and Oatway each have until 4pm on Friday to respond to the charge.
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