Hi John Not certain if there is a connection! I am doing some research for the Halton family who were born in Liverpool, a daughter married in Tranmere and were in Blackburn in 1891 as a Robertson - RG12/3401 Folio 137 Page 30.
Now I haven't been able to locate the family after 1846 until 1891 and was wondering if there was perhaps a connection with your line.
We have a John Halton possibly born in the Wigan area c 1815 who married Hannah Cunningham in 1843 and they had Mary in 1844 and Thomas in 1846 both born in West Derby, Liverpool.
Mary married Robert Robertson in Birkenhead in 1878, moved to Carnforth then to Blackburn.