Familysearch has a baptism :
Flossie Kirkpatrick, 28 Feb 1894, Elswick. Mother - Mary Kirkpatrick.
No father listed.
There is a marriage of a Mary Kirkpatrick and Philip Lawson on FreeBMD, Sep 1897, Castle Ward, 10b 464 (the other 2 on the page are married but living apart in 1901).
Philip and Mary are in Gateshead in 1901 census with 2 young sons.
15 Ridley St., Felling,
Philip Lawson, 29, Engine Fitter, b. Felling.
Mary Lawson, wife, 29, b. Gosforth,
James Lawson, son, 2, b. Felling,
George Lawson, son 1, b. Felling,
George M. Reed, nephew, 19, Bricklayer, b. Felling.
RG13/4749/113/58
There is a Florence Lawson in Byker in 1901 census :
174 Portland Road, Byker.
In the household of William Hall ....
William Boddy, Caretaker, mar, 41, Policeman, b. Morpeth,
Jane Boddy, Housekeeper, mar, 34, b. Scotland,
Florence Lawson, visitor, 7, b. Gosforth.
RG13/4788/45/15
A marriage on FreeBMD, Newcastle Mar 1898, 10b 113, William Boddy and Jane Jarden Kirkpatrick.
Jane Gorden Kirkpatrick is a sister of Mary and Ada on 1891 census.
Alan.