What contans finger-like projtions that help with mobility of the egg is mammary glands?

The structure you are referring to is likely the fimbriae, which are finger-like projections at the end of the fallopian tubes, not mammary glands. These fimbriae help to guide the egg released from the ovary into the tube, facilitating its movement towards the uterus for potential fertilization. Mammary glands, on the other hand, are responsible for producing milk in mammals, and do not have a role in the mobility of eggs.