I need to retrieve all records ordered alphabetically. Except for a predefined list of record's columns which their records should appear first in a given predefined order, then all other records should be sorted alphabetically based on the same column

For instance, assume we have the following table which is called Names

Lets assume the predefined list is ("Mathew", "Ashraf", "Jack").
I.e. these are the names of whom their records should be listed first as in the predefined order.

So the desired query result should be:

Which query could retrieve this custom order ?
P.S, I'm using MySQL.

Here's my trial based on comments' request:

(SELECT * FROM Names WHERE Name in ('Mathew', 'Ashraf', 'Jack')) 
UNION 
(SELECT * FROM Names WHERE Name NOT IN ('Mathew', 'Ashraf', 'Jack') ORDER BY Name ASC);

the first query result wasn't ordered as required.