I have now had time to look at the 1883 birth and Joseph Ward was born at Groarty, Londonderry on 21 January 1883, parents Thomas Ward, labourer, and Catherine Clifford.
Joseph Ward, son of Thomas Ward, labourer, married Mary McGurk on 27 August 1911 in Belfast. Joseph's address was given as Clydebank. So I think that must be the right Joseph Ward. There are no births of Ward with mother's surname McGurk in the GRONI online births index.
So it's reasonable to suppose that his family were born in Clydebank. However although the marriage was Catholic, there are no matching baptisms on Scotland's People.
There are lots of Ward births registered in Old Kilpatrick after 1911.
There are deaths of several Wards, mother's maiden surname McGurk. However there was a marriage of a Patrick Ward to a Lizzie McGurk in Blantyre in 1907 so without looking at the certificates it isn't possible to say that all these are the children of Joseph Ward and Mary McGurk.
Catherine, 63, 1974, Culross (birth 1910/1911) no matching birth in O/K
Elizabeth, 54, 1977, Old Kilpatrick (1922/1923) matched by a birth in O/K in 1922
Mary Catherine, 70, 1983, Old Kilpatrick (1912/1913) matched by birth in O/K in 1913
Annie, 64, 1985, Old Kilpatrick (1920/1921) matched by a birth in O/K in 1920
Sarah Jane, 69, 1987, Motherwell and Wishaw (1917/1918) no matching birth in O/K
Joseph Thomas, 76, 1991, Old Kilpatrick (1914/1915) matched by birth in O/K in 1915
There is a Sarah Jane Ward born in Dalziel in 1918 but there is no Catherine Ward in 1910/1911 in either Blantyre or Dalziel.
So if we assume that the four who died in Old Kilpatrick are children of Joseph Ward and Mary McGurk, and that the apparent matching births are correct, this means there were children born in 1913, 1915, 1920 and 1922. So there are gaps in 1916/1919 and after 1922 when there could have been one or two more children.
Unfortunately to get significantly further with this family you would need to go, or get someone to go on your behalf, to a Scotland's People Centre.