I don't know if he's related to you or not, but I'm looking for William Lyle born 1780, who married Margaret Church, the granddaughter of James Orr and Margaret Alexander. Richard Lyle born Laucells in 1787 had brother William Lyle born in 1780. I don't know whether he is the William Lyle who married Margaret Church, but the birth years are identical. Margaret was born in Ulster, Ireland.
My William was the grandfather of Thomas Ranken Lyle who died in South Yarra, Victoria, Australia.