Salaam Saadia Khan,
You ignorantly think Allah is a name, even in the understanding of conventional, or number 2 Islam as it is known, Allah is not a name, they believe it means The God, how can this be a name, I agree with Badar that in truth it means who is Not God, Brother Badar has explained this below:
The Arabic word اللَّهِ is not one word. It actually consist of three words in this order. First word is الذي =Allathee means "who is". This in writing is well know to be only written as ال or Al but this Al does not mean "the". It is followed by لا , Laa, meaning "not" and finally الهَ , illah, meaning the pagan Arab God or God in general. Hence the whole phrase would translated as "who is not god".