Police allege Stacey Ronevich, 35, of Martinsburg, fell asleep at the wheel of her 2000 Nissan minivan, and it struck Weaver's 1991 Honda Civic.
Weaver was listed in fair condition Wednesday at City Hospital, a hospital spokeswoman said.
West Virginia State Police Trooper R.C. Copson said there were no new developments in the investigation Wednesday.
Cheeseman, 21, a Musselman High School graduate, was hoping to get a job in television production to gain some experience, but his dream was to get into the music recording business, his father said.
Cheeseman played guitar and played in several garage bands in the area, his father said.
"His guitar was his life," Mark Cheeseman said.
Cheeseman graduated from The Recording Workshop in February and had been back home since Easter looking for work, his father said.
Cheeseman was hoping to land a television production job in one of the nearby metropolitan areas, his father said.
Before returning to his parents' house along Nadenbousch Lane for Easter, Cheeseman was living in Huntington, W.Va., where his girlfriend attended college, his father said.
Cheeseman spoke briefly to his mother Wednesday before his left the house with Weaver, his father said.
"He told his mom, 'Don't worry, I'll be right back,'" Mark Cheeseman said.