there is no way that u can extend your wifes stay in the uk using visit visa. visit visa holders needs to depart the uk on or before the visa expires. getting married using visit visa is breaking the law as well and that might put your further application or extension at risk. she couldnt extend or apply flrm as well as she didnt enter the uk as a fiancee or a civil partner (see sir joebloggs 2nd link)

she needs to go back to the philippines to apply for a spousal visa. i stand to be corrected but i think thats the only legal way she can do.