Some of you miss the point – it isn’t me I’m concerned about, it’s a 27-month-young daughter of mine who doesn’t sleep because there might be a spider “walking on my bed”.
Ambrose, MTFU? To a baby? You ****’ idiot!
Can’t you show her that it’s not a problem? Take this as a springboard to show her stuff about spiders she’ll be interested in. Films, books you can read with her, trips to nature reserves, etc. Don’t confront her fear, or run around trying to protect her from it, because either of those options simply reinforce it. Channel the issue into something useful instead.