Yes, all 16 or more mouse lemur species get eaten by a variety of predators, although the primary predator is the barn owl (Tyto alba). In fact, mouse lemurs have the highest predation rate among primates.
...And if you're asking about the Goodman's Mouse Lemur because of Mort from the movie Madagascar, you should know he's not a Goodman's Mouse Lemur. See: http://wiki.answers.com/Q/What_type_of_lemur_is_mort
The first mouse lemur to be described by science was the grey mouse lemur in 1777. However, Buffon mentioned the "Rat de Madagascar" in 1776, which was a reference to a mouse lemur.
Goodman's mouse lemur was created in 2005.
Jolly's mouse lemur was created in 2006.
Gerp's mouse lemur was created in 2012.
Mittermeier's mouse lemur was created in 2006.
MacArthur's mouse lemur was created in 2008.
Sambirano mouse lemur was created in 2000.
Simmons' mouse lemur was created in 2006.
Arnhold's mouse lemur was created in 2008.
A mouse lemur uses its ears to hear.
The Goodman's Mouse Lemur, like all other 16 species of mouse lemur, store their fat reserves in their tail....And if you're asking about the Goodman's Mouse Lemur because of Mort from the movie Madagascar, you should know that he is not a Goodman's Mouse Lemur. He is just a general mouse lemur. See: http://wiki.answers.com/Q/What_type_of_lemur_is_mort
They are not the same. Bush babies are very bushy. That's why they are named that. Bush babies have big tailes. EDIT: They are different forms and Genuses entirely. Additionally Bushbabies do not reside on the island of Madagascar or the surrounding islands, whereas all Lemur spp. do.