BAIT=BATE and since E=1 already shown, we see I=1, and then RODE=ROAD so A=1 RUDE=RUED proves some kind of commutativity, LOWED=LOAD so W=1, HOUR=OUR so H=1, FLOWER=FLOUR so U=1, SKULL=SCULL and QI=KI and SIC=SICK so K=C=Q=1, GNU=NEW and SIGN=SINE so G=1, PSI=SIGH so P=1, DAMN=DAM so N=1, HYMN=HIM so Y=1, CAN'T=CANT so aprostrophe=1, WRAP=RAP so R=1 , PLUMB=PLUM and CLIME=CLIMB so B=1, PASS=PAS so S=1, HICCOUGH=HICCUP so P=1 (given previous results), WOOD=WOULD so L=1 in view of previous results, WHAT=WATT hence T=1, MUMM=MUM so M=1, GIN=JINN, so G=J so J=1, PASSED=PAST or GUESSED=GUEST (?) would prove D=1 (since T=1) if accepted... oh, just AD=ADD shows that, SOX=SOCKS so X=1 in view of previous results which also is shown by FAUX=FOE, so if I am counting right, this takes care of every letter, plus apostrophe, except that the following letters remain open: V,Z