Hi,
I have looked for you, and can't find any deaths that fit for mary McDonagh/king.
or Mary Kane/mogan.
nor can I find any patrick kings in the same house hold as a Barbara.
I think the kings and turners, may have come out to scotland after 1901.
and thomas mogan, may have come out, without his parents.
because there are several families, of mogans in dumbartonshire, maybe you could buy a few deaths and see if there are any connections.
the other thing you can do, is put in google, 1901census ireland, and do some long searching in the relevant counties and see what might come up.
good luck.

kenjo