Disable trigger for just one table
Actually, if you place an if then block in every trigger, you could effectively shutdown all triggers. Here is such a code block

IF @TRIGGER_DISABLED = 0 THEN
    ...trigger body
END IF;


In the mysql environment, you could 


run SET @TRIGGER_DISABLED = 1;
do your data maintenance
run SET @TRIGGER_DISABLED = 0;


So your trigger for table A should look like this:

BEGIN 
    IF @TRIGGER_DISABLED = 0 THEN
    IF (OLD.status != 1 AND NEW.status = 2) THEN 
        IF (OLD.geo_lat IS NOT NULL AND OLD.geo_long IS NOT NULL) THEN 
            DELETE FROM geo WHERE datatype IN (3,4) AND foreignid = NEW.id; 
        END IF; 
    ELSEIF (OLD.Status = 1 AND NEW.Status != 2) THEN 
        IF (NEW.geo_lat IS NOT NULL AND NEW.geo_long IS NOT NULL) THEN 
            INSERT INTO geo (datatype, foreignid, long, lat, hostid, morton, status) VALUES  (IF(NEW.groupType=1,3,4), NEW.id, NEW.geo_long, NEW.geo_lat, NEW.hostid, 0, NEW.Status); 
        END IF; 
    ELSEIF (NEW.status != 3) THEN   
        IF (OLD.geo_lat IS NOT NULL AND OLD.geo_long IS NOT NULL AND (NEW.geo_lat IS NULL OR NEW.geo_long IS NULL)) THEN 
            DELETE FROM geo WHERE datatype IN (3,4) AND foreignid = NEW.id; 
        ElSEIF ((OLD.geo_lat IS NULL OR OLD.geo_long IS NULL) AND NEW.geo_lat IS NOT NULL AND NEW.geo_long IS NOT NULL) THEN 
            INSERT INTO geo (datatype, foreignid, longitude, latitude, hostid, morton, status) VALUES  (IF(NEW.groupType=1,3,4), NEW.id, NEW.geo_long, NEW.geo_lat, NEW.hostid, 0, NEW.Status); 
        ELSEIF (OLD.geo_lat!=NEW.geo_lat OR OLD.geo_long != NEW.geo_long OR OLD.status != NEW.status) THEN 
            UPDATE geo SET lat = NEW.geo_lat, long = NEW.geo_long, status = NEW.status WHERE datatype IN (3,4) AND foreignid = NEW.id; 
        END IF; 
    END IF; 
    END IF; 
END 


So your trigger for table B should look like this:

CREATE TRIGGER `usergroups_comments_insert` AFTER INSERT ON `usergroups_comment`     
    FOR EACH ROW     
    BEGIN     
        IF @TRIGGER_DISABLED = 0 THEN
            CALL sp-set-comment_count(NEW.`gid`);     
        END IF;
    END;     


If you want the triggers for table A to launch but not to table B, then add the code block only to table B's trigger.