I've posted two messages involving the surname Thirlwind on the forum. One is to do with the fact that there is a family of Thirlwinds buried at Tonge Cemetery, Bolton, Lancs. The family was buried around 1859, but an obituary i found in the Bolton Historical archives indicates that this family is long established in Bolton, so possibly they may not be related immediately to your Thurlwinds, but they were Quakers.
The second message deals with wills of Thirlwinds who lived in Windle, which is loser to the area that you are researching your Thirlwinds. The wills are dated around 1685. Should you be able to see copies of these wills it maybe posdible for you to move forward to the era of your Thirlwinds and maybe find a connection.