Start here and click on #8; 1969 Cowl Tag - X Codes:http://www.camaros.org/numbers.shtml
X44 would indicate non SS, non Z28, and without either style trim group (Z21) or RS package (Z22). Note the footnote reference to COPO.
and here for engines info:http://www.camaros.org/engine.shtml#CamaroEngines
Non SS, non Z28 engines could have been:
L26 230ci/140HP L6 1BC - non-SS
L22 250ci/155HP L6 1BC - non-SS
LF7 327ci/210HP V8 2BC - non-SS, prior to 1 Jan 1969
L14 307ci/200HP V8 2BC - non-SS, after 1 Jan 1969
LM1 350ci/255HP V8 4BC - non-SS, prior to 1 Jan 1969
L65 350ci/250HP V8 2BC - non-SS, after 1 Jan 1969
What is you VIN #? VIN will tell 6 cyl. vs. 8 cyl. and it will also establish if your car was built before or after 1 Jan 69, which will help narrow down V8 possibilities. Also what ir the body build date code on the cowl tag?