My Wife Quit Her Job She Was Due 15 Hrs Vacation Pay
On The Day It Was Due She Was Told That They Had Forgot
To Cut Her A Check And She Has To Wait Another Week.

You didn't ask a question. Also, please do not capitalize each word as it makes your post very hard to read.

I assume you want to know if they can make her wait for her vacation pay. Since the law in Arkansas does not require that they pay her for unused vacation at all, yes, they can.

If that is not the question, please clarify.