Having just started the emblazonment of the arms of Mrs. Margaret Hockenhull, late wife of John Hokenhull of Prenton," 1613, I noted that there is no tincture given for the field of the Shotwick quarter and that the Hockenhull arms are noted as being in the 2nd and 3rd quarters rather than the 1st and 4th.
The first port of call (for the tincture of the shield) is, as always, Burke's but there is no entry for Shotwick. So, I looked for what I could find on Shotwick Hall and came across details of these arms in the Transactions of the Historic Society of Lancashire and Cheshire, 12th March 1914, Shotwick Hall.
In the parlour, to the right, there is a carving over the mantelpiece, disfigured by successive coats of paint ; in the centre are the arms of Hockenhull of Hockenhull and Shotwick, with helm and mantlet, viz. Crest on a wreath, party per fesse, Argent and Or, a buck's head and neck erased, attired Or, pierced through the nostrils with a dart in bend of the last, feathered Argent, barbed Azure.
Arms Quarterly, 1 and 4, a plain cross [Shotwick] ; 2 and 3, Argent, an ass's head erased Sable [Hockenhull].