Thanks to all for the help.  The following seems to do most of what I 
want:

dom.xpath('//address/following-sibling::p//text()').each {|n| p n}

My next task is to capture only the desired text, and to write it to a 
file.  Specifically:

Line 1\n
Line 2\n
Line 3\n

The above code writes the following to standard out:

#<Nokogiri::XML::Text:0xba8f9c "\nLine 1\n">
#<Nokogiri::XML::Text:0xba8eac "\nLine 2\n">
#<Nokogiri::XML::Text:0xba8dd0 "\nLine 3\n">

So close!

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