Show 1005 has Buddy Hackett, Sheri Lewis, and Bill Bixby. Show 1007 has Jaye P. Morgan, Artie Johnson, and Abby Lane. Jaye says something that results in an audio and video bleep. I have a guess of my own. Link in comments.
In 1976 Star Trek was thriving with syndication, the cartoons and novels, and convention appearances by Gene Roddenberry. This LP was part of Roddenberry promoting the franchise and trying to make a movie happen - and he succeeded.
Here are some genuine self-inflicted hyphenated names that I sifted from a phone book on PDF.
Jean Daughters-Fell Jennifer Gerrish-Lampe Katharine Dowell-Finder Carmelita McGinnis-Lard Glenda Slaughter-Pettigre Belinda Silvernail-Wood Lori Lavender-Jipp Nicky Long-End Lynn Zook-Slagg Pamela Bloomer-Pinkston Taramatti Ganpat-Puffett Lucinda Wonderlich-Fuller