Andrew, I had wondered that, but really can't see how it would be the case given that I have dna links with someone from the Morris family to go by now, which is the maiden name of Eliza who was married to Joseph Smith, and I know that these were the parents of the correct Jemima Smith. I already have the other cert, no address on it, and mother given as Frances Ann Smith, which coincidentally was the name of Joseph Smiths 16 year old sister (maybe it was this Frances who had a baby on the same day as her sister in law, and called by the same name, Jemima being the name of Joseph and Frances's mother). There's an awful lot of coincidences which led me to jump to conclusions but I don't see how they could be the same baby.