Hopefully it's simple like the oil from the filter, although what you described as "palm-sized" would mean that you are way over-oiling your filter. One other thing to check is to put a stick or screwdriver down the oil fill hole to make sure that you did not have a seal go on your water pump. This happened on my Banshee and then your coolant seeps into your crankcase, pushing the oil out. Also a relatively easy fix.
1983 ATC 300R (Hondaline kit)
1985 ATC 310R (CT Racing)
1986 TRX 250R (Bone stock)
1988 TRX 330R (ESR)