Be useful to know where Scotland Road residents would have registered the births as that may be able to eliminate 3 records!
I don't know if this is helpful or not! But
in 1881 in Scotland Road is a family named REGAN with a daughter Clara born 1878. Seems an uncommon enough name - so looked in GRO her birth was registered at West Derby and Toxteth Park
but her sister Annie was registered in 1876 and a son Nathan (indexed as Mathew on census) in 1881 both at Liverpool!!!
I think I would look at the Liverpool registrations first.
There is this - I don't know quite how to interpret it
LIVERPOOL REGISTRATION DISTRICT
Registration County : Lancashire (1837-1934 and 1969-74), Merseyside (from 1974).
Created : 1.7.1837.
Abolished : 1.10.1934 (to become part of Liverpool South registration district).
Re-created : 1.10.1969 (out of Liverpool North and Liverpool South registration districts).
Sub-districts : Abercromby, Broadgreen, Dale Street, Edge Hill, Exchange, Fazakerley, Howard Street, Islington, Liverpool, Mount Pleasant, St. George, St. Martin, St. Thomas,
Scotland, Sefton Park, Toxteth Park, Toxteth Park Central, Toxteth Park East, Toxteth Park North, Toxteth Park North West, Toxteth Park South, Toxteth Park South West, Toxteth Park, Wavertree, Woolton
GRO volumes : XX (1837-51), 8b (1852-1934), 10D (1969-74), 36 (1974-92).
Registers currently held at : Liverpool.
https://www.ukbmd.org.uk/reg/districts/liverpool.html