The sides, both of whom are bidding for their first title in this grade, were level four times in the opening half and three times after the restart.
Offaly, managed by former All-Star Joachim Kelly, seemed poised for victory when Arlene Watkins edged them in front in the closing minutes but the outstanding Jane Adams secured a deserved draw for Antrim with an immediate point.
The sides were deadlocked at 0-7 each at the end of an excellent opening half but within a minute Offaly struck for a goal from Arlene Watkins.
That score separated the sides for most of the third quarter but then Grainne Connolly fired home a goal for Antrim to make it 1-8 each after Offaly goalkeeper Emma Carey had done well to deny Jane Adams.
Karen Nugent restored Offaly¦s lead with a point but this was cancelled by Adams who also responded to Watkins¦ later point to set up a replay that is scheduled for Sunday week.
Offaly had many fine performers including Siobhan Flannery, Elaine Dermody, Arlene Watkins and Emma Carey.
Janes Adams was again the Antrim star with Shannon Graham, Chrissie Doherty and Mairead Graham also superb.
Meanwhile, Meath secured the Division Four crown when they scored a 5-7 to
1-5 win over Roscommon to collect what is only their second national title.
Goals from Jane Dolan and Lizzie Lynch helped Meath to a 2-3 to 1-2 interval lead, with Annette McGeeney getting the Roscommon goal just before the break.
Meath wrapped up the issue towards the end of the third quarter when they rattled in three goals in a blistering four-minute spell.
Elizabeth Oakes got the first of these with Jane Dolan and Stephanie Horan also finding the and there was no way back for Roscommon after that.
Elsewhere, Clare defeated Limerick by 2-6 to 2-1 in the Munster minor camogie championship on Saturday, while yesterday Tipperary scored a 5-23 to 0-4 win over Waterford in the other semi-final.
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