Hi welcome to roots chat
I am from the Tootle family of Liverpool,
In my notes I have the following:
Sarah Jane Tootle married Stephen Mciver 1908 St Peters Liverpool although I haven't checked the parish registers for this marriage her possible parents are William H Tootle and Alice Jane Ashton Married 1883 St Peters Liverpool, William H Tootle is my great nans brother. You say they had children, Margaret 1914, Jane 1918, and Winifred 1923, I haven't been able to find these children, but I have found these others all mothers surname Tootle:
John Mciver 1911 L'pool 8b 17
Alice J 1914 L'pool 8b 24
Sarah 1919 L'pool 8b20 ("your grandmother")
Teresa 1920 L'pool 8b 46
Susan 1922 L'pool 8b 54
Frances 1924 L'pool 8b 13
Gerard 1926 L'pool 8b 75
Joseph 1927 L'pool 8b 80
I have also seen the death of the Stephen Mciver in 1916, and they were living in the right area when he died, but im still a bit baffled at this, as you can see other children have been born after this death, there is a possibility sarah may have been living with another mciver after Stephens death and they may not have married.
I think your way forward is to get Sarah 1919 birth cert to be sure Sarah Jane Tootle is her mother, and also I would get a birth cert for one of the older children after 1916 to see if a fathers name appears on the cert, other than spend money out if you are local to liverpool look at the baptism registers St Peters and St Nicholas and Anns to see if any of these children were baptised.
I can help you with the Tootle side of the family.
I will send u a private message
Jan