Momma said they'd take me anywhere.

they'd take其实是 they would take的缩写。
是将来时。
整句的翻译就是：妈妈说他们会把我带到任何的地方。
take sb. sp. 把某人带到某地。
像这种缩写在考试中很容易考到，是考点。
另外：shan't(should not)
won't (will not)

they'd take=they would take
they'd take 是一般过去时，would 是will的过去式，表示将要的意思

妈妈说他们将带我去任何地方。
they'd take（they would take）原为they will take，因为跟在said后面，所以要用过去式。