Gillespie, during a visit to his bank, dictated a codicil to his will. It was typed and signed by Gillespie before he left the bank. However, it was not until later that two bank employees signed the document as witnesses. They were not present to see Gillespie actually sign the document. Would the probate court treat the codicil as valid? (Brammer v. Taylor, 338 S.E.2d 207)