The Lasses got off to the perfect start when Beth Lumsden lobbed Natalia Negri from an improbable distance on her milestone 50th appearance, but it was only enough for a point due to Sophie Peskett's equaliser late in the first half.
Despite United pushing and playing some neat football between both boxes, they were thankful to Anna Tamminen with minutes left to play for a stunning added-time save.
Three changes from Tanya Oxtoby saw Freya Gregory, who got an assist off the bench last week, Charlotte Wardlaw and Jasmine McQuade come into the starting line-up, with their impacts being felt almost immediately.
Lumsden pulled a strike right out of the top drawer as she celebrated half a century of games in black and white.
After a neat one-two with Jordan Nobbs, she shifted the ball down the right-hand side, and after a glance towards goal and right on the touchline, Lumsden lobbed Negri to a rapture of noise in the stands.
United refused to let up following Lumsden's goal, and Emily Murphy almost got on the scoresheet on the half hour mark, but after meeting Aoife Mannion's looping cross, her header lacked power and was gathered by Negri.
It wasn't just from open play where Newcastle looked dangerous, with Molly Pike's lofted delivery only punched by Negri to Gregory, but the ball wouldn't come down in time for the Scotland international, who sliced over from inside the box.
Despite the Lasses' dominant display, a swift counter-attack from the visitors unleashed Peskett, who faked to shoot and cut inside the sliding Kaitlyn Torpey, before calmly finding the bottom corner with the Tractor Girls' first shot on target.
A much slower second half saw United control possession but create very little in the way of clear-cut chances, with Negri not doing much more than collect crosses and shots straight at her.
Although the second half was largely played in Ipswich's half, it was the Tractor Girls who had the golden chance to snatch all three points when Rianna Dean was slipped through one-on-one with just Tamminen to beat, but United's Finland international saved her side a point.
Newcastle United Women: Anna Tamminen, Charlotte Wardlaw, Jordan Nobbs, Jemma Purfield, Molly Pike, Freya Gregory (Oona Sevenius 62), Kaitlyn Torpey (Demi Stokes 62), Jasmine McQuade (Lois Joel 46), Aoife Mannion (c), Beth Lumsden (Emilia Larsson 75), Emily Murphy (Shania Hayles 62)
Subs not used: Claudia Moan, Małgorzata Grec, Ashanti Akpan, Jorja Fox
