Origins of the word "mother"
According to wiktionary:
From Middle English moder, from Old English mōdor, from Proto-Germanic *mōdēr (cf. East Frisian muur, Dutch moeder, German Mutter), from Proto-Indo-European *méh₂tēr (cf. Irish máthair, Tocharian A mācar, B mācer, Lithuanian mótė).
That's abosultely right. Proto-Indo-European is the hypothetical ancestor language or protolanguage of most European and Indian languages.
That's why in many languages of the same origin the word "Mother" is used with trivial variations. I'm don't have a listing of the words you're looking for.
Note that some words might have been used in other languages because of reasons other than language origins. For example many Arabic words are used by Muslims in middle east in countries like Turkey, Pakistan, Iran, etc. Or some other words like okay are gaining popularity in different languages and get used by many people. But as RegDwight mentions for the word okay this is a case of borrowing a word.
The word Mama or Papa are one of the easiest words that can be produced or repeated or by babies. Maybe that's one of other reasons which has made the words being used in most of the languages around the world.
To get more information about Proto-Indo-European language visit here.
To get more information about the list of Proto-Indo-European languages visit here.
As others have said, "mother" is a word that we can trace back to Proto Indo-European.
However, the occurrence of similar words all over the world is not reliable evidence of genetic connection between languages, since there is such a strong alternative hypothesis (a baby's first sounds, and sucking sounds).
I'm not saying all languages are not related, just that this is not evidence for it. There is a body of opinion that the ultimate relationship of all languages has been demonstrated, but it's a pretty marginal view in the linguistics community (see Proto-World). My own belief, which I think is quite widely held, is that we are unlikely ever to obtain enough evidence either to establish or to refute the hypothesis.
Incidentally, Georgian has "მამა" ("mama") for "father" and "დედა" ("deda") for "mother".