Thank you, bedfordshire boy,
I did have the information on the marriage of Matthew Gaunt and Frances Green, at Essendon, from the hertsdirect.org site.
It was an exciting moment when this information revealed itself on the screen. From the information that the groom, Matthew (more commonly known in our records as Matthias, which causes a little confusion when searching for him), was from London, it was then I managed to unearth the two children's baptisms at St Giles Cripplegate, but so far not Jane nor the fourth child, possibly Francis(?).
The Australian (Tasmanian) archives note that Matthias and his wife Frances arrived here in 1831 and they were accompanied by four children - Sydney (4), Frances (3), Jane (2) and Francis or Matthias noted as an infant. I'm inclined to lean towards the name Francis for the fourth child, as I would have imagined the first born son to have been named after his father.
I am delighted to see that you have given me just that little bit more information, that Matthias was described as a surgeon of Castle Street.
Once they'd landed here in Van Diemen's Land (as Tasmania was called in those days), they eventually doubled and more the size of their family.
Oh, and I should mention that Dr Gaunt built an Anglican Church (St Matthias) on the banks of the Tamar River here, at the place he named Windermere, in deference to the UK lake that carries this name. I will attempt to attach a photograph of the church.
Again, thank you for your assistance... Cheers... Rose
PS: Can't follow how to load a picture... sorry...