Part of the problem is my own Edwin Cole webpage - with, for instance, ebay sellers misidentifying the signature on the art and then Googling my page to copy info on the artist they think they're selling. In all the examples I currently have, Edwin Cole always signed his full name - Edwin Cole - and often also included a year date. Here are some examples from between 1905 and 1925.
He also seemed to work exclusively in watercolours for his paintings, and the scenes are nearly all landscape subjects in and around Shrewsbury - but I wouldn't exclude other mediums and subjects coming to light - he was versatile, working with stained glass, metal and wood.
Also coming up for sale, often under the name 'Edwin Cole', are two series of postcards titled the Kitten Series (including 'Miss Vanity', 'The Model' and 'The Destroying Angel') and the Artistique Series (featuring female portraits with titles such as 'Sandie', 'Billie' and 'Tommie'), all published by the Pictograph Publishing Co. of London in the 1920s.
These are not by Edwin Cole but by a Hackney-born artist called Edward Francis Cole. His signature is often 'Edwd Cole' (with a very small second 'd') so can be misidentified without care. Here are some examples - you'll note the long line coming from the end of Cole that was consistent throughout his career.
Edward was a poster designer before he joined the Surrey Regiment for the Great War, where he made a number of benevolent cartoons of his officers. He created art for the Pictographic postcards and went on to become a highly skilled commercial artist, later moving to and working in South Africa.
The vast majority of misidentifications concern a large number of original oil pantings being sold, not only through ebay, but also in auction houses both online and off, with the signature of E. Cole. Some of these, presumably later ones, are signed E. Cole Snr. or E. Cole Jun. (the latter not, as one ebay seller put it, because it was "painted in June").
The paintings are well-crafted (Cole senior slightly more professional, I'd say), and out of over 50 examples I've seen, all but a handful feature a country lane and a white-gated cottage (not always the same architecture), sometimes with a river or pond, sometimes with a girl walking in the lane, sometimes with a little stone bridge too. They are certainly nineteenth-century, but so far I have not been able to identify who the two E. Coles are - except they are not Edwin Cole of Shrewsbury.
One auction site has their art expert state "E Cole is probably a grandson of George Cole and a son of George Vicat Cole, both famous painters who made similar work". While the elder George Cole did indeed have a son called Edwin Cole, he was a mariner from the 1850s and my last sighting of him is in Jamaica at the end of 1880s where his Dutch second wife died. I doubt he was the artist, though he can't be fully ruled out just yet. Vicat Cole had four daughters and one son, Rex, also an artist. His daughter Edith Ivy, was probably not the 'E. Cole Snr' - most likely a male artist. But, certainly, the subject matter is thematically in line with that of the Vicat-Coles, including another son, Alfred Benjamin, so the family is worth exploring more fully.
Finally, another name has been thrown in to the mix, that of Ethel Kathleen Cole (1892-1976), sometimes identified as the painter, mistakenly I think, of one or more of the above E. Cole pieces. I have not been able to find a definite sample of her work online. A webpage of Suffolk artists assigns two paintings to her, one with the usual E. Cole signature (almost certainly misattributed) and another that says 'Cole - Ethel Kathleen' on the reverse - likely not put there by the artist herself, and probably another E. Cole painting by the looks of it.
Part of her biography states that Ethel went to the Slade School of Fine Art, and there is a figure sketch attributed to her from 1912 on the University College London site, though it is signed K. Cole, and a contemporary newspaper article refers to her as Kathleen Cole. The UCL site, confusingly, says Ethel was American and that she died in 1934 after living in Derwentwater. This does not seem to be correct, as census returns say she was born in Beccles, Suffolk, moved with her family to East Grinstead, and worked as an art teacher later in life, dying in Lewis, a spinster, in 1976. An E. Kathleen Cole is recorded as exhibiting at the Royal Academy Summer Exhibition in 1931, 1932 and 1935. Again there appears to be the biographies of more than one candidate conflated.
The research I've done here is not complete, and I especially hope to eventually identify E. Cole senior and junior. I'll update this as any new information comes to light, but in the meantime I hope it helps to correctly identify what is by Edwin Cole of Shrewsbury, and what isn't.