It is JST SH/SR (1.0mm pitch). Please refer the following product ad.
This CR2032 lithium metal coin battery has wire leads and a JST SHR-02V-S-B (1mm pitch) connector attached for easy connection to your equipment.
www.xump.com
FYI, I measured from center of hole to the center of next hole of JST connector (female) using a foot scale and confirmed that the spacing is 1 mm only.
I appreciate your help and thanks.