A Census anomaly

A comparison of the Scottish Censuses shows up an interesting comparison of entries related to a child born in Dundonald in 1837. My comments here follow up the blogs I wrote on 22nd April last where I may have made a false assumption. In the Dundonald, Ayrshire census of 1841 we have the youngest child of James and Jane (nee Harvey) McElhago, namely Jameson, male, aged 4. In 1851, still the youngest offspring of James and Jane McElhago, Jameson is aged 14 but this time is listed with an 'F' for female, under 'Sex'. Is he or she there is 1861? James and Jane are now in Irvine, Ayr, and with them there is indeed a Jamieson, 'F', but she is aged only 2, so was born in 1859. She is in fact listed a a grandchild and is possibly the daughter of Eliza, aged 34, who is living with them. The family's surname is now spelled McIllhago. Now Jameson (born 1837) would then have been 24. There is a female McElhage in Tradeston, Glasgow who is 24, and McElhage was surely a mistake for McElhago - and the other two people from the clan in Tradeston do have the surname McElhago. So surely we have the right person. The movement from rural Ayrshire to industrial Glasgow must have been by someone in their early twenties looking for work. But what is her first name? It is Jane plus second name initials McH. Perhaps Jameson was indeed female and got fed up with having a male sounding name and, keeping the initial 'J', changed it to Jane. The designation 'male' at the age of 4 was probably an enumerator's error. And did two year old granddaughter Jamieson keep her name? Where is she, aged 12, in 1871? Nowhere to be seen, though there is a 12 years old Jemima McElhago in Tradeston!