Hi Marcia, I am at a bit of a loss here. Though it is quite easy to confuse me. LOL
You state you found records of Elizabeth's birth of about 1877 in Pennsylvania, but yet you find the parents living in Huddersfield. West Yorkshire, England in 1891. So I am a bit unsure of the record(s) you have on her birth in Pennsylvania.
Your account of her would entail that they moved from the UK to Pennsylvania and then back to the UK and then back to America and given the place of death you have for her, moved to Australia. While not improbable, just highly unlikely.
You have a very common name to work with and this makes it extremely hard to figure out who is who in online records.
Also, you have her son's exact birth date, but no location of birth. If you don't know the exact location of his birth, you can just input the country. As you find better data later, you can update it at that time. And you have his place of death as Annerly Nursing Home Brisbane. That's a little too specific. Wink, Wink. Put the name of the nursing home in his biography, but just put the geographic locations in Place of Death as well as Place Of Birth. Helps the search engine to better perform it's function.
The more you do WikiTree, the easier it gets, trust me. I wish I could be of more help, but the data you presented in your question seems to be a bit conflicting at points.