The following should work for you:
[\n\r].*Object Name:\s*([^\n\r]*)
Your desired match will be in capture group 1.
[\n\r][ \t]*Object Name:[ \t]*([^\n\r]*)
Would be similar but not allow for things such as " blah Object Name: blah" and also make sure that not to capture the next line if there is no actual content after "Object Name:"