One way is to use
sed repeatedly as the following example shows.
Code:
sed -n '/\<Family2\>/,/\<\/Family2\>/p' file | sed -n '/\<Father\>/,/\<\/Father\>/p' | sed -n 's/\<name=\(.*\)\/\>/\1/p'
It outputs "DAVE".
A better way is to use something like the XML extension to gawk (XMLgawk)