In Underground, when Alice’s giant arm makes a grab at the Rabbit, making him fall into a cucumber frame, he seems to have some trouble identifying just what it was that attacked him. The Rabbit then calls for the help of Pat the gardner, whom his proceeds to question thus:
“Now, tell me, Pat, what is that coming out of the window?" "Shure it's an arm, yer honour!" (He pronounced it "arrum".) "An arm, you goose! Who ever saw an arm that size? Why, it fills the whole window, don't you see?" "Shure, it does, yer honour, but it's an arm for all that." "Well, it's no business there: go and take it away!”
The gardener seems to have no problem identifying what he sees as an arum. Therefore, does Carroll make Alice’s giant arm also double as a Giant Arum, pronounced just as Pat the gardener pronounced it?