"I Wish I Had a Girl" was his first hit, and rose to #20 on the Billboard charts (and #1 on the Mainstream Rock Charts). The song was actually written and recorded in 1985, but was re-recorded for his major label debut.
As for the video ... well, it is chock full of mullety (is that a word?), acid wash late 1980's goodness. Henry Lee seems to be harassing every young woman who walks down the street. My favorite is the bicycle singing harassment, which cannot be an easy thing to do.
As his success waned, Summer wrote songs for a few soundtracks (Sniper and Striking Distance) before fading from view. He was back in the news a few times between 2005 - 10 for drug-related issues, but seems to have cleaned up as of this writing.