I believe Gates started Microsoft with a $5000 loan from his parents. Not that "immense".
Paul Allen and Gates had saved up a small amount of money from contract work. Together they provided all of Microsoft's seed capital. They had customers for Microsoft essentially from the start of the business (MITS being the first), making it profitable nearly from day one.
Gary Kildall wrote CP/M in 1974, a year before Gates formed Microsoft.
http://www.autonews.com/article/19960626/ANA/606260830/1975-...
And how much credence would IBM give a mom (who had little knowledge of computers and software) who suggested checking out her son?
Lastly, the accounts of her advising IBM to use her son's company are not verifiable.
IBM went to Gary Kildall first.