High speed small object being followed by a jet at high altitude object changed direction suddenly jet followed

Went on back porch. Wife said "look!" I looked where she was pointing and saw a small bright sort of roundish but not disc shaped "craft". No wings or anything being followed close by a jet. High speed high altitude. Jet had contrails behind it object didn't. They flew above a cloud I could see the object through the cloud but not the jet. Object suddenly changed direction. Jet came out of cloud seemed to lose sight. Jet seemed to spot it again over the tree line and turned sharply to follow leaving an angled contrail in the sky. Object was heading west ward. While in cloud suddenly went north with great speed lost sight as it went past the pine trees across the street. After a 15-20 seconds another jet came by from a southward direction and followed the direction of the object and jet. A 3rd jet came and did the same. I would say the object looked similar to some of the more recent reports that have been recognized by Military as unknown aerial phenomena.