Would this work using Sql Server 

sql "SELECT DB_NAME()",$path

{test the result}

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Osman Shariff
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On MySql it appears that would be 
SQL "select DATABASE()",$path

Thanks for the answer, it's ok with "select database()" on MySQL

However, I do it by another way:
I create a parameter in a file of each database, with the same key but a different value.

After the "open" instruction, I read this parameter and check if the value returned is the one that is expected.

That would work, but why bother when a perfectly working way already exists without the maintenance.  I can't see the purpose.

And if you have such a file/table, I guarantee you that the next time you make a copy for a test environment, you will forget to change the content and it can happen that the wrong database is supplied with updates!

But how about writing a view that collects and returns all relevant/necessary information.
At https://dev.mysql.com/doc/refman/8.0/en/information-functions.html you can find some more functions.
If the name of the view is kept generic (e.g. 'SysInfos') and the column names are also generic, you can even set up this view on other database systems and get a standardized return of what you are dealing with.  [A first column in the view should then contain "MQL" in your case :-)]
Ingo

BTW. For MS-SQL possible properties are listed here:
https://learn.microsoft.com/en-us/sql/t-sql/functions/serverproperty-transact-sql

And what about such View (for MS-SQL):
create view SpecialSysInfo
as 
select 
'MSS' as DbmsType
,(select SERVERPROPERTY ( 'MachineName' ))    as ServerName
,(select SERVERPROPERTY ( 'InstanceName' )) as DbmsInstName
,(select DB_ID())        as DbId
,(select DB_NAME())      as DbName
,(select host_name())    as Local_CompName
,(select host_id())      as Local_CompID
,(select user_name())    as Local_UserName
,(select user_id())      as Local_UserId
go

Ingo