According to your example, you have the following situation.
In column A you have the month number and in column D you have the name of the month.
Then we must convert the name of the month to number.
Check the following formula
<table border="1" cellspacing="0" style="font-family:Calibri,Arial; font-size:11pt; background-color:#ffffff; "> <colgroup><col style="font-weight:bold; width:30px; " /><col style="width:104.55px;" /><col style="width:76.04px;" /><col style="width:76.04px;" /><col style="width:84.59px;" /><col style="width:76.04px;" /></colgroup><tr style="background-color:#cacaca; text-align:center; font-weight:bold; font-size:8pt; "><td > </td><td >A</td><td >B</td><td >C</td><td >D</td><td >E</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >1</td><td style="background-color:#ffff99; font-weight:bold; text-align:center; ">Month Number</td><td style="background-color:#ffff99; font-weight:bold; text-align:center; ">Year</td><td style="background-color:#ffff99; font-weight:bold; text-align:center; ">Name</td><td style="background-color:#ffff99; font-weight:bold; text-align:center; ">Mont Name</td><td style="background-color:#ffff99; font-weight:bold; text-align:center; ">Result</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >2</td><td style="text-align:right; ">6</td><td style="text-align:right; ">2019</td><td >john</td><td >June</td><td style="text-align:right; ">4</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >3</td><td style="text-align:right; ">6</td><td style="text-align:right; ">2019</td><td >jacob</td><td >May</td><td style="text-align:right; ">3</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >4</td><td style="text-align:right; ">5</td><td style="text-align:right; ">2019</td><td >jill</td><td >March</td><td style="text-align:right; ">1</td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >5</td><td style="text-align:right; ">3</td><td style="text-align:right; ">2019</td><td >bob</td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >6</td><td style="text-align:right; ">6</td><td style="text-align:right; ">2019</td><td >Pau</td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >7</td><td style="text-align:right; ">6</td><td style="text-align:right; ">2019</td><td >Mat</td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >8</td><td style="text-align:right; ">5</td><td style="text-align:right; ">2019</td><td >Nei</td><td > </td><td > </td></tr><tr style="height:19px ;" ><td style="font-size:8pt; background-color:#cacaca; text-align:center; " >9</td><td style="text-align:right; ">5</td><td style="text-align:right; ">2019</td><td >Sus</td><td > </td><td > </td></tr></table><br /><table style="font-family:Arial; font-size:10pt; border-style: groove ;border-color:#00ff00;background-color:#fffcf9; color:#000000; "><tr><td ><b></b></td></tr><tr><td ><table border = "1" cellspacing="0" cellpadding="2" style="font-family:Arial; font-size:9pt;"><tr style="background-color:#cacaca; font-size:10pt;"><td >Cell</td><td >Formula</td></tr><tr><td >E2</td><td >=COUNTIFS($A$2:$A$9,MONTH(D2&1),$B$2:$B$9,2019)</td></tr></table></td></tr></table>