Hi Neil.
A few years ago a relative included some information on the Solomons in a Family History for private distribution.
Ikey Solomon married Ann Julian who was transported arriving in Hobart in June 1828 followed by her sons John and Moses. After Ikey came out they had other children, including Sarah. Most of this you have. My distant cousin seems to have used information from "Australian Genesis". I have no details on that, however if you PM me, I could send you her email address - also in Australia.
She makes the point that at the same time there was a different family of Solomons in VDL, including Judah and Joseph Solomon who were transported, arriving in Hobart in Jan 1820. Joseph divorced his wife, Harriet before leaving England so either could remarry. Judah did not divorce his wife, Esther. She later arrived with 4 children which made domestic arrangements with his mistress and new family somewhat interesting.
Four of Joseph's children, Lion Henry; Mary; Sarah and Frances arrived in Tasmania later. (Sarah is the connection with my family, Walford). Joseph later remarried.
Judah and Esther had at least 9 children in England including a Louisa who married a John Davis at the Great Synagogue in London. They came out to Australia in 1839 on the Juliet and settled in Tassie. Louisa later moved to Victoria.
I don't know if any of this relates to your Solomons, there were rather a lot of them. I can, if you like give you a contact email for my distant cousin or in the first instance email you the *pdf of the history, there may well be some links somewhere. My cousin has done significant research and there may well be something in it for you.
Cheers
Ozjane