Can House maid give a birth in bahrain.

That is not the right question.

The right question is, is the housemaid married to the father of the child and has a duly attested marriage certificate?   if yes, then yes.  If no, then no.

Thanks for your information...our marriage certificate is attested in MOFA Bh as well last year when she had an employment visa, now we just wanted to clear this doubt and move forward for a baby 👶

We heard that women housemaid giving a birth in bahrain can be problematic.

Problematic from the perspective of the employer, not legally.