Can I overlay Google Logo on map or move it to top right?

You could move the logo (or remove it) quite easily with CSS - it's positioned absolutely. If you examine the map with Firebug, you can find the id of the logo div.

I wouldn't advise doing this, since it will break the Terms of Service (section 9.4)

In my experience using Google maps there is nothing you can do to overlay the logo or the copyright string. And you shouldn't, it's there for a reason - you should give credit for the things you use that have been made by other people.

The only "solution" that I see is to place an overlay picture that is outside your map container and position it absolutely over the Google logo. But I hated this thought the instance it occured in my mind :)

I think you should change the design of your map overlays so that the logo will fit in.

Removing the Google logo from standard maps API breaks the Terms of Service.

There is however a Google maps API for business, which gives you much more flexibility. The standard price is $10,000/year. If you enquire to them about it, a representative from Google will call you. You can ask the representative exactly what the legalities surrounding the logo for paying customers is.

http://www.google.com/enterprise/earthmaps/maps.html