It is possible that daughter Elizabeth married William Bostock in Liverpool in the Oct/Nov/Dec quarter of 1861. In 1871 BOSTOCK, William Boarder M 32 1839 Porter b.Lancashire and BOSTOCK, Elizabeth Boarder's Wife F 37 1834 Charwoman b.Isle of Man were boarding at Copperas Hill, Liverpool.
If so, it does look as though that Douglas bapt was correct for her, and that her mother was Elizabeth Kneale (who died between 1861 and 1871 censuses?).
Sue