Is Cleptomania a sign of ADHD?

No. Kleptomania is a mental disorder in its own right. Kleptomaniacs are compelled to steal things, generally objects of little or no significant value.

Kleptomania is not an Addictive-Compulsive disorder, also called "shoplifting addiction" or "theft addiction" or "compulsive theft or stealing". Most theft-addicts are not kleptomaniacs nor typical criminals who steal for profit or due to sociopathic issues.

Kleptomania is usually thought of as part of the obsessive-compulsive disorder spectrum or impulse control disorders.

It doesn't sound to me like ADHD. It could be that the child is starving for attention and likes to steal things hoping to get caugh, just to draw attention to herself. It could also be that the kid is a nasty spoiled brat and wants to be mean to other children. If it's a psychological problem, I would think it falls into the category of obsessive compulsive disorder moreso than ADHD.

Stealing things is a sign of Cleptomania.

Her mother just needs to explain to her that not everything is hers, all children go through the "Mine!" stage, parents just need to be forcefull to prevent their children from growing up as a thug.

I don't believe kleptomania is a sign for ADHD, but it could be a sign of some other psychiatric problem.

*Kleptomania, you mean.

No they are two entirely different things.