Bigger arms but weaker?

So there's a girl I work out with sometimes and she's tiny, height and just really petite. Her arms have smaller muscle than mine, yet she can lift more than me? I'm not fat, I'm a UK size 8 and have very little fat on my arms- they're well toned but I've always been really weak. Is it possible that the size of muscles doesn't really correspond to strength? I thought I was making progress :(
Bigger arms but weaker?
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