Here is some information from Warren Fahey's "Australian Folklore Unit" webpage, which can be found here:

http://warrenfahey.com/wf_intro.htm

"Two shanty fragments as sung on the sailing ships bringing gold seekers to Sydney in the 1850s. Found in Adventures on the Australian Gold Fields - W Craig. 1903

Pumping Shanty

Oh fare you well, my own Mary Anne
Fare you well for awhile.

Anchor Hauling Shanty

When first we went a-waggoning
Drive on my lads, heigh ho."

The first one is obviously from a rather well-known song "Mary Ann". Check here:

thread.cfm?threadid=110435

I am not familiar with the second one.