he died at least 16 months before Elizabeth Gibson/Rennie was born, so clearly not her father
1850. William Rennie was born
1887. William Rennie , 37, assistant butcher, married Jane Gibson, 21, domestic servant, in St Johns Street Chhurch. Both living St John Hills. He signs with a mark: she can write. His parents John Rennie, brewers' labourer, deceased, and Janet Scott. Her parents John Gibson, ag.labourer, deceased , and Jane Hare, deceased (her father was given as James Gibson on her 1895 marriage to Andrew Glasgow)

1891C.. William Rennie, 42, butcher, was living on Hill (Sims Court), 8, South Leith, St Andrew, Edinburgh, Midlothian, Scotland, with wife, Jane Gibson, and her pre-marriage illegitimate daughter by an unknown father
| William | Rennie | Head |
Married | Male | 42 | 1849 | Butcher | Midlothian, Scotland |
| Jane Gibson | Rennie | Wife |
Married | Female | 35 | 1856 | Butchers wife | Musselburgh, Midlothian, Scotland |
| Jemima Gibson | Rennie | Daughter |
- | Female | 16 | 1875 | Servant general (domesetic) | Musselburgh, Midlothian, Scotland |
1891. William Rennie, mother Scott, died 1891 St Giles, stated age 35- d.c on SP, not purchased
1893. Lizzie Gibson/ Rennie was born, illegitimately,, on 18/3/1893, in Canongate, Edinburgh to Jane Gibson, widow of William Rennie, who had died November 1891
1913. On her m.c Lizzie/Elizabeth Rennie gave her father as a Robert Rennie, dock labourer!