searching for my Grandmother's half sister in Belfast

[Forfarian]

As you can see he also went by Wilson.

Not necessarily. As he was clearly illegitimate, his birth would have been registered under both of his mother's surnames.

[Rosinish]

As Forfarian says;

BURNS ELLEN HANNAH
1918
654/ 464
Rutherglen

WILSON ELLEN HANNAH
1918
654/ 464
Rutherglen

Annie

[isobelw]

There is a death notice in the  Evening Times (Glasgow)  and also an Acknowledgement following the funeral, but neither contain any additional info re family or place of burial.
Isobel

[Rosinish]

The father of Ellen Hannah will not appear on the BC.

If the father's name was on the BC this would mean he had attended at the registration of the birth i.e. his surname would have been used as an alternative along with both of the mother's surnames which is not the case as there are only 2 entries for Ellen Hannah with the RD No. & entry no.

Annie

[BBaxter]

There is a death notice in the  Evening Times (Glasgow)  and also an Acknowledgement following the funeral, but neither contain any additional info re family or place of burial.
Isobel

Thank you very much! I found them both and uploaded to my tree on ancestry. Every little bit is important. Thank you, Barbara