Hi there,
What a great photo—thank you for sharing it!
Based on the photographer’s imprint (Lauders, Manchester St, Liverpool) and the style of the portrait, I'd estimate the photo was likely taken between the 1880s and early 1890s. Lauders operated in Liverpool during that time, and the overall styling—pose, clothing, and format—matches typical cabinet card portraits from that era.
The surname Eaves is interesting too! I’ve come across it while doing surname research—particularly families originating from Lancashire and surrounding areas. If your line traces back to a Joseph Eaves (b. ~1846–1848), there's a good chance this photo is either one of his sons or perhaps even Joseph himself if taken later in life.
If you're still piecing together Eaves connections, you might find surname-mapping tools helpful for visualising migration patterns or frequency over time. I recently came across BestLastNames.com
which compiles surname origins and variants—might offer some clues if you're exploring other branches too.
Would love to see more photos or details if you're building out the Eaves tree!