Cando
Eliza Lane was born 26 Dec 1861 to John and Mary. That is the only hard information I have. Based on the reference to John's funeral leaving from Mr Edward Shaw's residence, I presumed that he and Eliza were married, as he was the only son-in-law. If there were other daughters I don't know about then that could open up new lines of enquiry.
I wondered whether Shaw and Straws could get mixed up when placing a death notice in the paper. The digitised version I have is quite clear that it was printed as Shaw.
I take your point that marriage of John and Mary in 1854 and first recorded child Eliza in 1861 is a big gap. I can't find any other birth records earlier than this, yet you mention Catherine's birth in 1856. Can you let me have more search details for this record please?
As a matter of interest, there are no Straws buried in the Cheltenham Cemetery. There is an Edward Albert Shaw (died 23 April 1920, 69 y-o) buried in the West Terrace Cemetery, and an Elizabeth Shaw (died 02 March 1911, 48 y-o).
You have given me several helpful leads to follow up.
Thanks
Bob