Yes, Laura was also there child.
Laura Jane Stevens
Vermont, Vital Records, 1760-1954
birth: 26 Nov 1871 , , Vermont, United States
parents: Alexander Stevens, Jane Codding
I was looking for the marriages too.
I'm not sure if I found Julia's. I did find one, but it lists her mother as Elizabeth.
I did find a newspaper announcement of Alexander's marriage to Mary Tobin, using genealogybank.com.
It stated they were both from Waterville, I also found a birth for Mary Tobin, she was born in Bakersfield,Vt., but not sure if it's the same one.
I was also using familysearch.org, it's a free site.
You can view/save/print the records.
Available is birth/marriage/deaths/some military & probate files too. You'll have to dig deep but well worth the researching. Some census records also are available.