I have both Robert and John Crawfords in my line from Tyrone. Robert b. 8 June, 1839 and John (his brother) b. 21 July 1841.
I don't know Robert's wife or children. At some point he immigrated to the US and settled in New Bedford MA where other groups of the Crawford family followed and settled. Based on his birth date this Robert could have had a daughter born in 1873. I have heard an anecdotal mention of an "Aunt Eliza" on this side of the family but we have never been able to place her. Robert died presumably in New Bedford in 1924.
His brother John remained in Tyrone near Stewartstown until his death in 1923. Almost all of John's children moved to New Bedford.
Does any of this seem like a possible fit?