The only named Godiva that I can't find a single picture for is the 1887 version, but there is a description - Lady Godiva was ably impersonated by Madam Smith, of Skegness. Her robes were of rich material, designed after a sketch dated 1050. The dress was of cream satin, confined at the waist by a richly-jewelled girdle. The sleeves were of exceedingly fine linen, fitting the upper part of the arms closely, and trimmed with broad bands of gold. The outer robe, or cloak, was of lovely rich rose velvet, its shades varying in the light to pink. This was brocaded with gold and lace and the lady's fine flowing hair fell gracefully over her shoulder. She wore a coronet, a jewelled star resplendent with gems, and jewelled bracelets. Godiva was mounted on a magnificent charger of dapple grey over 17 hands in height.
She's also one of the few who haven't had their first name documented either. Most of the early Godivas were from out of town, middle aged and actresses. Probably due to the unsuitable nature of the role. Some could ride and others had never been on a horse in their life. The first to be photographed was Madame Letitia 1862, although she wasn't in costume at the time. There are at least 3 sketches of her ride. One of which is shown below. Look for the prominent banner - To The Pure All Things Are Pure.
Next to be photographed was Miss Annie Panton in 1866.