Hi, preacherfan: Check out ChrisEvert.net. It's truly comprehensive. Alas, Chrissie did suffer the rare early round losses:
When she was still just 15 and before she shocked Margaret Court, she lost the following first-round matches in 1970:
Haverford: 1R lost to Kerry Melville-Reid 4-6, 4-6
South Orange: 1R lost to Peachy Bartkowicz 2-6, 1-6
In early 1971, she suffered a shocking first-round loss on clay to Denise Carter in the Virginia Slims of Fort Lauderdale, no less: 2-6, 7-6, 4-6. This has to rank as one of the most surprising results in the game!
From that point on, however, there was no loss before the quarterfinals until that surprise to Fromholtz in Boston in 1976. As you noted, there probably was no other player who suffered fewer upset losses in her career than Chris, especially when she was coming up. From the time she truly emerged at Forest Hills in 1971, her consistency and brilliance were remarkable.
She's the true queen of the game in my book!