Deserialize tricky XML

We receive xml files from clients that I deserialize into objects.  The objects are then processed for import into our system.  I have one client that sends some xml that is not quite well-formed.  Each record is divided into segments (called lines).  Each line holds a different part of the object I'm importing, so there will always be one instance of each line (in order) per record.  But there is no single element that encompasses an entire record.  There can, however, be several records per file, and I'm not quite sure how to deserialize the file into a collection of objects.

Here's an example of what a file might look like (dashed lines added by me to delimit records):

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<?xml version="1.0"?>
<root>
----------------------
<line1>
<value1>some data</value1>
<value2>more data</value2>
....
</line1>
<line2>
<othervalue>different data</othervalue>
</line2>
---------------------
<line1>
<value1>yet more data</value1>
<value2>something here</value2>
</line1>
<line2>
<othervalue>last data in this file</othervalue>
</line2>
---------------------
</root>