Further fueling rumors of a wedding, Lohan flashed a heart-shaped sparkler on her engagement finger Wednesday when she accompanied Ronson on a DJ gig in New York.
So, is this Lohan and Ronson's coming out?
Lohan's rep Leslie Sloane, in an e-mail to ABCNews.com, called such reports "ridiculous."
Lohan's father, Michael Lohan, told ABCNews.com, "I'm not even going there anymore with this relationship. It totally backfired the last time I spoke out about Samantha. I'm concerned about one thing, my daughter's well-being."
But in the past, most recently last month, he's made no secret about his feelings for Ronson. He told ABCNews.com in August, "When I started looking at what Samantha was doing, dragging Lindsay to clubs, drinking around Lindsay. ? Samantha is one of the biggest problems in her life."
Michael has said Ronson, 30, is an opportunist, who is using his 22-year-old daughter to raise her own profile and increase her bank account. He previously told ABCNews.com that she is dragging Lohan around "so she can make more money off of Lindsay being there when she spins."
From all appearances in the media and on the pair's MySpace pages, though, Lohan hardly seems to be dragged around. There's the infamous photo in May, when they were caught kissing in Cannes on P. Diddy's party yacht. For a while, Ronson reportedly kept the photo on her MySpace page.
Even though they have played coy about labeling their relationship, others have had fewer qualms about outing them.
In July, L.A. police Chief William Bratton said Lohan "has gone gay," before clarifying that her relationship with Ronson had "quieted her down."
Lohan responded on a paparazzi video posted on TMZ.com: "Police, you shouldn't get involved in everyone else's business when it comes to their personal life. It's inappropriate."
Daisy Lowe, the girlfriend of Ronson's older brother Mark, all but outed the couple to Britain's Mirror in July.
"Sam is an amazing girl," she told the paper. "Lindsay is really down-to-earth. Her and Sam make a lovely couple -- they seem really happy. Their relationship is totally genuine. And they're just so sweet together. Mark totally approves."
The couple, linked for more than a year, have made their own veiled statements that could easily be deciphered.
Lohan told Marie Claire magazine that she and Ronson have matching tattoos. "Samantha had some stars, so I had some done as well."
She also hinted that they are looking to buy a home together. "I am very happy," she said. "She is a fantastic person who has a great influence on everyone around her."
"I think Lindsay already pretty much outed them, not only by wearing an SR ring, but by alluding to Sam as the person she loves. And now Sam's remark adds more fire to that," Village Voice columnist Michael Musto told ABCNews.com in an e-mail. "This is their way of coming out right now, en route to their inevitable magazine cover story making it official."
But Andrew Belonsky, editor of Queerty.com, is not convinced. "The thing that has intrigued me most is the way they have played the media, the way the media has soaked up these empty admissions," he said. "I'll be skeptical until I hear a really affirmative confirmation from the girls and their publicist."
At the same time, Belonsky believes the generation after Ellen DeGeneres feels less inclined to come out publicly.
"There is a divide in how one should wear their various identities," he said. "People like Ellen think it's more important to be out and proud. People in my generation -- I'm 27 -- there's a nonchalance about that sort of thing."
Musto sees the couple's actions less as a reflection of any change in the way stars come out and "more a reflection of how famous Lindsay is that she's taking baby steps in doing so," he said. "But I bet we see them together on Oprah, a la Ellen [DeGeneres] and Anne [Heche], in the next year."
And should there be a wedding, Michael Lohan will most likely not be there.
"I'm a Christian and a minister," he told ABCNews.com Thursday. "God doesn't condone those kind of relationships. And I would be a hypocrite if I condoned that kind of relationship."
That said, he's not convinced the relationship will last.
"I believe everyone will find the light in their own time," he said, "and that Lindsay's going to turn around and say that you were right about everything."
Perhaps the best way to predict what lies ahead for the couple is to look back at earlier reports of the Facebook profile Lohan created. It was under the name "Lindsay Ronson."