Linda,
The only records I can see are births of later siblings, and the death of 55 yr old William, in 1927.
In 1911 the McLucas family were living in Willington Quay, within the Parish of Wallsend.
Any BMD events in Willington Quay would have been registered within the Registration District of Tynemouth ( not necessarily in the town of Tynemouth).
The County of Tyne & Wear was not born until 1974 ( and as a county council, killed off in 1986).
Michael