To be specific to the question, the answer would be no as analogous structures do not show that two distinct come from a common ancestor. However, it shows the evolutionary relationship by stating that the species have different evolutionary origins and developmental patterns as they developed the organs with similar function and appearance but anatomically and embryological development is different.
The answer to the question "Do wings show that a fly is related to a bird?", is no it does not show the relation between fly and bird.
You would expect a plant to produce more oxygen on a sunny day because there are more sun rays available to plants so photosynthesis is easier to maintain, as well as oxygen production.
