A LOSS OF SEPARATION OCCURRED WHEN CTLR ALLOWED A B757 AT FL410 TO COME WITHIN 4 NM OF AN LR35 ALSO AT FL410 OPPOSITE DIRECTION.

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I WAS D-SIDE ON ZTL R-28; A STAFF SPECIALIST. 1ST TIME OF THE MONTH; I WAS ACTIVELY SEQUENCING STRIPS AND PLACING DIRECTION ARROWS. WINDS WERE STRONG; BIG SECTOR; MANY RANDOM RTES OF CPR ACFT. ACFT X WAS IFR FROM TEB J75 TAY PIE DSNDING AT APPROX XA44 IN SECTOR. R-SIDE WAS MODERATELY BUSY AND BUGGING ME TO TAKE THE SECTOR. ORIGINALLY I WAS UNCOMFORTABLE WITH TFC. I RECALL ACFT X BEING IN SECTOR A LITTLE E OF COURSE. I DO NOT RECALL SEEING HIM FLASH HDOF TO ZJX-66. I WAS MONITORING RADIO. I DO RECALL R-SIDE SWITCHING HIM. A FEW MOMENTS LATER I AGREED; AFTER GETTING AN IDEA OF PENDING TFC FROM STRIPS; TO TAKE THE SECTOR. DURING BRIEFING; ACFT X I BELIEVE (NO DATA BLOCK DISPLAY) WAS OUTSIDE AIRSPACE. STRIP HAD BEEN MARKED BY R-SIDE AS HDOF COMPLETED AND SWITCHED; IE; NOT ONBOARD PRIOR TO BRIEFING. AS BRIEFING CONTINUED R-15 (ZTL) FLASHED AN ACFT X DATA BLOCK TO US AND SAID HE DIDN'T (VIA INTERPHONE) KNOW HOW HE GOT TRACK OR HDOF. BUT HERE IT WAS. R-SIDE TOLD ME SOMETHING LIKE 'I KNOW HE WAS HANDED OFF.' R-SIDE FLASHED TRACK TO ZJX-66 AND CALLED ON THE LINE AND ASKED IF HE HAD HDOF ON ACFT X. HE REPLIED YES. I DO NOT KNOW IF ACFT X WAS NOT PREVIOUSLY HANDED OFF; OR IF HOST DID SOMETHING WEIRD. BRIEFING CONTINUED; TO CONCLUSION. I THEN TOOK THE SECTOR. SINCE I'M NOT SURE IF R-SIDE DID HDOF ACFT OR NOT I AM FILING NASA RPT. MY PERCEPTION IS THAT R-SIDE DID HDOF ACFT; AS VERIFIED BY ZJX AND HOST DID SOMETHING WEIRD. ALL OF THIS TRANSPIRED AND WAS RESOLVED PRIOR TO MYSELF TAKING THE SECTOR.