Tuite's of Meath

I have several different connections to the Tuite family from Meath Ireland.

I believe these connections are linked to the same family by way of siblings or cousins.

The family concerned seems to come from around Tallaughstown, Athboy & Dunderry.

There is a family that consists of: Bridget, Mary, Patrick, Oliver, Edward & Pat/Cat.

The Edward I have is married to Ellen Connell/O'Connell.

The doubt comes up as to whether or not the Edward I have is part of this family or is a relative of this family.

Oliver Tuite & Catherine Quigly/Quigley are the suggested parents for the above names.

There appears to be a few Edwards born about the same time my Edward was born thus, causing the confusion of who he belongs to.

The birth year is around 1838 to 1845.

One concept I have had is that the father Oliver had a sibling & my Edward is from him making a cousin relationship.

My other connection to the Tuite's occurs through the marriage of Oliver Tuite to Julia Newman in Dunderry, Meath 1879.

There is also another Tuite - Eliza who marries a John Newman in Dunderry, Meath in 1880.

I'm suspecting that Julia & John could be siblings or cousins.

I'm connected to all of the Tuite's mentioned & would like to know if anyone has a little bit of information that could help clarify how they connect together.