$da_data = str_getcsv($da_data, ",", "'");
will read this as you want:
'Bill, Rose Mary' <bill@co.bill.ca.us>,'asasd, test' <test@co.test.ca.us>,
^ ^ ^ ^
But you do not use single quotes in the CSV file, as indicated in your call str_getcsv. This is ":
$da_data = str_getcsv($da_data, ',', '"');
var_dump($da_data);
Output:
array(3) {
[0]=>
string(36) "Bill, Rose Mary <bill@co.bill.ca.us>"
[1]=>
string(32) "asasd, test <test@co.test.ca.us>"
[2]=>
string(0) ""
}
Demo
Please note that it deletes yours ", as it is actually assumed that it contains the entire string.
In a completely different note, to make sure you get the data you need, you must convert your CSV file to the following:
"Bill, Rose Mary <bill@co.bill.ca.us>","asasd, test <test@co.test.ca.us>",
^ ^ ^ ^