The Summer of Love would not have been personally known by ppl who were not already inclined to the "Hippie" movement.
Your parents didn't know about it because they were not into the counter-culture. I was around in 1967 but knew nothing about a Summer of Love. In June 17, 1967 I was discharged from the Air Force and looking for employment.
Specifically it was when thousands of heads converged on San Francisco, but unless you were a freek you would not have known anything more than what the newscast mentioned. All the rioting and civil unrest was more important to most Americans that year.
But, the Summer of Love started a counter-culture movement that eventually spread to all parts of the country. I became aware of the counter-culture a few years later in New Orleans and my personal Summer of Love was the Atlanta Pop Fest on July 4, 1970 (me and a quarter million other heads) and my trip to San Francisco to the Haight-Ashbury, which was in decline.