The Rose Playhouse was a principal rival to Shakespeare and his Lord Chamberlain's Men, although Shakespeare did sell his plays to perform there too.
It was owned by Philip Henslow, who's memorably portrayed in the 1998 movie, Henslow left a detailed diary which has been very useful to shed light onto the intricacies of theatre operations during this period, including providing the only known box-receipts for Shakespeare's plays.
Supposedly, one way to start an argument between Shakespeare scholars is to claim that there are any definitive facts at all known about him!
Mostly, it is impressive we know as much as we do considering how long ago he lived and very fortunate that so many of his works were preserved.
John Heminge and Henry Condel, editors of The First Folio, were also members of Lord Strange’s Men, Lord Chamberlain's Men and the King's Men, thus may have known Shakespeare for 25-30 years.
Their partly fictionalized story about getting the First Folio published was turned into a comedic play in 2017 called by Lauren Gunderson.
The diary refers to RICHARD BURBAGE, SHAKESPEARE’S FRIEND AND LEADING MALE ACTOR WHO LIKELY PLAYED FOR THE FIRST TIME ON STAGE: RICHARD III, HENRY V, HAMLET, ANTHONY, MACBETH, OTHELLO, CORIOLANUS, LEAR, AMONG OTHERS.
REPUTED SELF-PORTRAIT CIRCA 1600." RICHARD BURBAGE, SHAKESPEARE’S FRIEND AND LEADING MALE ACTOR WHO LIKELY PLAYED FOR THE FIRST TIME ON STAGE: RICHARD III, HENRY V, HAMLET, ANTHONY, MACBETH, OTHELLO, CORIOLANUS, LEAR, AMONG OTHERS.
There's not a single documented connection to authorship of the works attributed to Shakespeare to anybody except Shakespeare.
The heartfelt dedication from Shakespeare's old friends and colleagues in the preface to the First Folio about his talent and the affection they felt for him is well worth reading.