It would have to be someone who
A. Knows where Alice is
B. Is symphetic to her
C. knew her family well enough to have owned a large photograph of them (which would not have been cheap in the Victorian Era) and kept it around for more than ten years, and
D. Had a reason to keep thier identity hidden
The only person in-universe I can think of who even comes close to fitting those characteristics would be Lewis Caroll/Charles Dodgson, but that still leaves the question of why he chose to send the gift anonymously.