Taking data from an XML document and writing it to another XML document with python

I've been trying for a while now to do this.

Basically, i have an XML document in the following format(which contains the information i need - the ID and coordinates of some points):

<root>
    <!-- Title element missing here -->
    <Table>
        <Point>
            <ID>Point1</ID>
            <latitude>numbers</latitude>
            <longitude>numbers</longitude>
        </Point>
    </Table>            <!-- This line should be eliminated -->
    <Table>             <!-- This line should be eliminated -->
        <Point>
            <ID>Point2</ID>
            <latitude>numbers</latitude>
            <longitude>numbers</longitude>
        </Point>
    </Table>
</root>

What i need to do is to take this document and output it in a different format (like i displayed above, in the original XML file), without changing the original XML file.

I wrote the following code for the above task, but i hit a brick wall, so to speak. I am also rather new to python as well.

from lxml import etree
import xml.etree.ElementTree as ET
doc=etree.parse('test2.xml')
root=doc.getroot()
elements=root.findall(".//Point")

root=ET.Element('root')
title=ET.SubElement(root,'Title')
title.text="Title"
table=ET.SubElement(root,'Table')
for element in elements:
    point=ET.SubElement(table,'Point')
    elem=ET.SubElement(point,'ID')
    elem.text="Name"
    elem2=ET.SubElement(point,'latitude')
    elem2.text="coords"
    elem3=ET.SubElement(point,'longitude')
    elem3.text="coords"
ET.dump(root)  # using ET.dump just to display the output in the python SHELL

The code above gives me the following output in SHELL, which is what i need.

<root>
    <Title>Title</Title>
    <Table>
        <Point>
            <ID>Name</ID>
            <latitude>coords</latitude>
            <longitude>coords</longitude>
        </Point>
        <Point>
            <ID>Name</ID>
            <latitude>coords</latitude>
            <longitude>coords</longitude>
        </Point>
    </Table>
</root>

My problem comes when i have to take the values of ID,latitude and longitude from the original XML file and writing the whole new document in a new XML file, with pretty_print as well, for easier reading. I simply can't fingure it out. Some tips would be greatly appreciated.