Elections for members of Congress, and other officers, have been held, during the month of August, in the following States: Alabama, Arkansas, Indiana, Kentucky, North Carolina, Tennessee, and Texas, entitled in all to 50 representatives. These States are now represented by 19 Whigs and 31 Democrats. From the returns that have come to hand up to the day when we close our Record for the month (August 18), it appears that in these States the Whigs lose one and gain two members of Congress. The States which had previously elected representatives have 144 members, of whom 61 are Whigs and 83 Democrats. The States which have still to choose are Louisiana, Mississippi, Georgia, Virginia, Maryland, and California, which are entitled to 39 representatives. The delegation of these States in the last Congress stood 9 Whigs to 30 Democrats. It is therefore evident that there will be a large Democratic majority in the next Congress. The results of the recent elections, as far as we are able to give them, are as follows, liable, however, to correction, in one or two instances, from the official returns. In _Kentucky_, LAZARUS W. POWELL, Democrat, is elected Governor, by a small majority; the Whig candidate for Lieutenant-gov., J.B. THOMPSON, is elected. Both branches of the Legislature are Whig, which secures a Senator from that party in 1853, when the term of Mr. UNDERWOOD expires, and another in place of Mr. CLAY, should he resign his seat, as is confidently asserted to be his purpose. The Congressional delegation stands five of each party; a Democratic gain of one member. In _Indiana_ the Whigs have chosen two, and the Democrats eight members of Congress, a Whig gain of one. The Legislature is Democratic, by a large majority. In _Alabama_ the main contest was between the Union and Secession parties. HENRY W. COLLIER, Democrat, who maintains that a State has the right to secede, is re-elected Governor, without any regular opposition. The Legislature is Union by a decided majority. The Congressional delegation consists of five Unionists, of whom two are Whigs and three Democrats; and two Secessionist Democrats. In _North Carolina_ the members elected to Congress consist of six Whigs, of whom one is a Secessionist; and three Democrats, of whom two are Secessionists. In _Tennessee_ WM. B. CAMPBELL, Whig, is elected Governor, over the present Democratic incumbent. The Congressional delegation consists of five Whigs and six Democrats; a Whig gain of one. The Legislature is said to be Whig, which will secure to that party the choice of a Senator in place of Mr. TURNEY, Democrat, whose term expires this year. The Cuban insurrection has caused considerable excitement, more especially at the South. General Lopez addressed a public meeting at New Orleans on the 26th of July. Expeditions in aid of the Cubans are reported to have sailed from Florida and New Orleans. Among the adventurers are named a number of the Hungarian refugees.