The Baton Rouge native then tripped to Tuscaloosa the following weekend, where Nick Saban also extended a scholarship.
"Alabama was a lot of the same stuff that LSU had on that first trip I made," Williams said. "We toured the athletic and academic facilities. It was fun up there.
"Getting offered was worth going up there. Coach Saban said he wanted to offer me at outside linebacker or drop me so I could play defensive end. But most of the time he wants me standing up as a jack linebacker. Coach Saban was impressed by my film."
Back at LSU this past weekend, Williams said he got a different look at a campus he sees every day.
"We got to tour the whole campus this time, not just the academic and athletic stuff," Williams said. "We went to the student union and stuff like that. I know it all, I just hadn't been around in detail with it. Then some of the tour was my first time seeing things."
And with an offer already in hand, being back at LSU also meant being back in Miles' office.
"Coach Miles just told me that the staff and the whole LSU family is committed to me," Williams said. "He told me he really wants me to come there. He said he would do whatever it takes to make me feel comfortable with the program and to commit.
"He didn't want to put a lot of pressure on my shoulders. He said to think it all out before I commit to any team. He just asked where my head was with the offer."
Will it be a two-team race for the local prep star?
"I get asked a lot about who is my favorite," Williams said. "I don't really have a favorite between those guys. Alabama has been on me since I was at Glen Oaks during my freshman year.
"But like I told Coach Miles, LSU was a special offer because it is home. I always have to think about those guys. Both have pros and cons.
"Of course, I am trying to take time out with anyone who will talk with me. If a coach shows interest, I will show interest in the program."
As for where the Tigers stand, a second visit in less than a month spells good news - at least for the moment.
"This last visit was a pretty good trip," Williams said. "My family really enjoyed it.
"I will take my time now and focus on grades and schools, then work on building relationships with these coaches."