I have Breretons in my family tree, but the dates look to be a generation out.
Thomas Brereton, born 1726 in Dodleston, Chesire, son of Randle Brereton and his wife Mary (maiden name currently unknown). He married Ann Hocknell, born about 1736, on 2nd February 1758 in Acton, Cheshire (Familysearch 4008455).
Their known children, born / christened in either Acton or Dodleston:
Mary (born 1759), my 4x great grandmother married Samuel Moulton
Randle (1762)
Thomas (1766)
James (1769)
Joseph (1772)
Although initially it looks promising, Randle is actually quite a popular name in that family, relating back to Sir Randolph (or Randle) who fought for Henry VII and by 1504 was the Chamberlain of Cheshire.
However, its usage does suggest that we share common ancestry (as opposed to the other common names) so happy to help. I'll have a look at some options coming down from my Thomas and Ann but it may be a day or two before I can do some research.
Regards,
Janet