Debbie, The names and locations must indicate a link somewhere. Unfortunately I have found little additional information other than the Family Bible. My only new clues are that John Collinson (b. 12/24/1816) married Agnes Sharpe (b. 1826 Liverpool). and Thomas Collinson (b. 1858, Barrow) served an apprenticeship of 7 years as machinist on the Furness Railroad. From 1872-1879.
If I dig up any new information, I will be happy to share.