Hi Jim
I am finding it impossible, sorry to say, to find anything definitive for you. With the latest details you provided, I've had another look around.
I can see a son James born in 1825 in Edinburgh to a James Liddle and Alison Wishart (married in 1824). Her death entry shows in Midlothian in the 1850s with those names, so no Hislop connection that shows.
There is also an Alison Gillies who married a Walter Hislop in 1836 in Midlothian. She was older than him, from the censuses, and from her death entry, I also cannot see a connection to the Liddle name.
I think I found the solicitor Liddle that you referred to. Was it Joseph Liddle in Edinburgh. He was born 1789 in Edinburgh. He has a number of sons, including a Henry and a Thomas (father John and mother Beatrice).
I've run death searches for an Al* with the names Hislop and Liddle, in her age group, on Scotlands People and nothing immediate comes across with those names.
....so, struggling to pick up on any leads here
.
Regards.
Monica
PS. From the list of names you provided for James's children in Australia, Alice/Alisa is a variant of Alison I would say.
Also, how did the Jamieson name come in? Why does a relative think that father may have been a Jamieson?