Can you legally produce and distribute maps for free, but for commercial purposes?

I want to produce copies of a specialised map with markers and places of interest aimed at a target audience, distributed for free.
I need a map to work with, or produce my own.
What are the laws governing the reproduction of an existing map (ie A-Z, google map or other) and distributing for free, but selling ad space around the map itself thus making potential income?

You can produce your own map - I've done this for hotels etc. However, if you wish to use Ordnance Survey or an A-Z, you need their permission. You may have to pay something; it all depends how you word your request to them.

No there is a little word called TRADEMARK

You can certainly produce your own maps and distribute them on any basis you decide.

However, you may not reproduce an existing map belonging to someone else without their consent. To do so would violate the copyright belonging to the creator of the map.