As far as I'm aware from my late Granda there were 3 main Quigley families in Greenock.
As for Jane Marshell Quigley, no-one in my own lineage bears that name, it could be though a distant branch which I have yet to discover. Tracing back 2 brothers came from Ireland around 1855, my 4x G Granda and his brother John.
From what I can trace it does not follow my Grandas line but may in fact be his brothers or another yet unknown Quigley lineage.
What does it show as Jane's parents if known? I have some free credits and can look it up maybe follow her linage and see if she crosses with my own.
Oh, still live in Greenock as you may know Grianaig is Gaelic for it.