OK, just received my negatives in the mail. It appears to be the camera's fault. As @Adam speculated,
Originally posted by Adam Probably an issue with the camera's winder
and @Alex645 also said:
Originally posted by Alex645 The only indication that could be your camera is if there are overlapping double exposures or inconsistent widths of black gaps in the messed up scans.
So it does appear to be inconsistent widths in the gaps as well as some overlapping exposures. I guess I'll need to return the camera to Roberts Camera for repair or replacement. It was such a cheap purchase for me ($20) that it kind of sucks to have to send it back.